This paper studies variable separation of the evolution equations via the generalized conditional symmetry. To illustrate, we classify the extended nonlinear wave equation u_{tt}=Au,u_{x}u_{xx}+Bu,u_{x},u_{t} which admits the derivative-dependent functional separable solutions DDFSSs). We also extend the concept of the DDFSS to cover other variable separation approaches.

In this paper the conservation theorems of the constrained Birkhoffian systems are
studied by using the method of integrating factors. The differential equations of
motion of the system are written. The definition of integrating factors is given
for the system. The necessary conditions for the existence of the conserved quantity
for the system are studied. The conservation theorem and its inverse for the system
are established. Finally, an example is given to illustrate the application of the
results.

Based on the random walk and the intentional random walk, we propose
two types of immunization strategies which require only local
connectivity information. On several typical scale-free networks, we
demonstrate that these strategies can lead to the eradication of the
epidemic by immunizing a small fraction of the nodes in the
networks. Particularly, the immunization strategy based on the
intentional random walk is extremely efficient for the assortatively
mixed networks.

In this paper, a new computational method for improving the accuracy of
numerically computed solutions is introduced. The computational method is
based on the one-step method and conserved quantities of holonomic systems
are considered as kinematical constraints in this method.

In this paper, a new kind of symmetry and its conserved quantities of a mechanical
system in phase space are studied. The definition of this new symmetry, i.e. a
Noether--Lie symmetry, is presented, and the criterion of this symmetry is also
given. The Noether conserved quantity and the generalized Hojman conserved quantity
of the Noether--Lie symmetry of the system are obtained. The Noether--Lie symmetry
contains the Noether symmetry and the Lie symmetry, and has more generalized
significance.

Many new forms of Boussinesq-type equations have been developed to
extend the range of applicability of the classical Boussinesq
equations to deeper water in the study of the surface waves. One
approach was used by Nwogu (1993. J. Wtrw. Port Coastal and Oc. Eng.
119, 618--638) to improve the linear dispersion characteristics of
the classical Boussinesq equations by using the velocity at an
arbitrary level as the velocity variable in derived equations and
obtain a new form of Boussinesq-type equations, in which the
dispersion property can be optimized by choosing the velocity
variable at an adequate level. In this paper, a set of
Boussinesq-type equations describing the motions of the interfacial
waves propagating alone the interface between two homogeneous
incompressible and inviscid fluids of different densities with a
free surface and a variable water depth were derived using a method
similar to that used by Nwogu (1993. J. Wtrw. Port Coastal and Oc.
Eng. 119, 618--638) for surface waves. The equations were expressed
in terms of the displacements of free surface and density-interface,
and the velocity vectors at arbitrary vertical locations in the
upper layer and the lower layer (or depth-averaged velocity vector
across each layer) of a two-layer fluid. As expected, the equations
derived in the present work include as special cases those obtained
by Nwogu (1993, J. Wtrw. Port Coastal and Oc. Eng. 119, 618-638) and
Peregrine (1967, J. Fluid Mech. 27, 815-827) for surface waves when
the density of the upper fluid is taken as zero.

Using the solution of general Korteweg--de Vries (KdV) equation, the solutions of
the generalized variable coefficient Kadomtsev--Petviashvili (KP) equation are
constructed, and then its new solitary wave-like solution and Jacobi elliptic
function solution are obtained.

By use of an auxiliary equation and through a function transformation, the Jacobi
elliptic function wave-like solutions, the degenerated soliton-like solutions and
the triangle function wave solutions to two kinds of Korteweg--de Vries (KdV)
equations with variable coefficients and a KdV equation with a forcible term are
constructed with the help of symbolic computation system Mathematica, where the new
solutions are also constructed.

In modelling elastic wave propagation in a porous medium, when the ratio between the
fluid viscosity and the medium permeability is comparatively large, the stiffness
problem of Biot's poroelastic equations will be encountered. In the paper, a
partition method is developed to solve the stiffness problem with a staggered
high-order finite-difference. The method splits the Biot equations into two systems.
One is stiff, and solved analytically, the other is nonstiff, and solved numerically
by using a high-order staggered-grid finite-difference scheme. The time step is
determined by the staggered finite-difference algorithm in solving the nonstiff
equations, thus a coarse time step may be employed. Therefore, the computation
efficiency and computational stability are improved greatly. Also a perfect by
matched layer technology is used in the split method as absorbing boundary
conditions. The numerical results are compared with the analytical results and those
obtained from the conventional staggered-grid finite-difference method in a
homogeneous model, respectively. They are in good agreement with each other.
Finally, a slightly more complex model is investigated and compared with related
equivalent model to illustrate the good performance of the staggered-grid
finite-difference scheme in the partition method.

This paper investigates the entanglement in the supermolecular dimer
[Mn_{4}]_{2} consisting of a pair of single molecular magnets with
antiferromagnetic exchange-coupling J. The conventional von Neumann
entropy as a function of the exchange-coupling is calculated explicitly for
all eigenstates with the quantum number range from M=M_{1}+M_{2}=-9 to 0. It
is shown that the von Neumann entropy is not a monotonic function of the
coupling strength. However, it is significant that the entropy of
entanglement has the maximum values and the minimum values for most
eigenstates, which is extremely useful in the quantum computing. It also
presents the time-evolution of entanglement from various initial states. The
results are useful in the design of devices based on the entanglement of two
molecular magnets.

A new representation of an arbitrary and unknown N-particle state is presented at
first. As an application, a scheme for teleporting an arbitrary and unknown
N-particle state is proposed when N pairs of two-particle non-maximally
entangled states are utilized as quantum channels. After Alice (sender) makes
Bell-state measurement on her particles, Bob (recipient) introduces an auxiliary
particle and carries out appropriate unitary transformation on his particle and the
auxiliary particle depending on classical information from Alice. Then, von Neumann
measurement that confirms whether the teleportation succeeds or not is performed by
Bob on the auxiliary particle. In order to complete the teleportation, another N-1
times operations need to be performed which are similar to the above ones. It can be
successfully realized with a certain probability which is determined by the product
of the smaller coefficients of non-maximally entangled pairs. All possible unitary
transformations are given in detail.

We propose a most simple and experimentally feasible scheme for teleporting unknown
atomic entangled states in driven cavity quantum electrodynamics (QED). In our
scheme, the joint Bell-state measurement (BSM) is not required, and the successful
probability can reach 1.0. Furthermore, the scheme is insensitive to the cavity
decay and the thermal field.

A scheme is proposed for generating a three-atom maximal
entanglement W state. It is based on the simultaneous nonresonant
interaction of atoms with a single-mode cavity field. Our scheme is
insensitive to the cavity field, so the cavity field in our scheme
can be initially in thermal states.

The late-time tail of massive Dirac fields in Kerr spacetime is investigated by
using the black hole Green function. It is shown that in the intermediate late times
there are two kinds of new properties. The one is that the asymptotic behaviour of
the massive Dirac fields is dominated by a decaying tail without any oscillation,
which is different from the oscillatory decaying tails of the massive scalar field;
the other is that the dumping exponent for the massive Dirac field depends not only
on the multiple number of the wave mode and the mass of the Dirac particle but also
on the rotating parameter of the black hole.

In this paper the analytical expression of free energy expressed by small parameter
r of a weakly interacting Fermi gas trapped in weak magnetic field is derived by
using `the maximum approximation' method and the ensemble theory. Based on the
derived expression, the exact instability conditions of a weakly interacting Fermi
gas trapped in weak magnetic field at both high and low temperatures are given. From
the instability conditions we get the following two results. (1) At the whole
low-temperature extent, whether the interactions are repulsive or attractive with
(ɑn + 4\varepsilon_{F}/3) (n and \varepsilon _{F}
denote the
particle-number density and the Fermi energy respectively, ɑ= 4π
a\hbar_{F}/ m, and a is s-wave scattering length) positive, there is a
lower-limit magnetic field of instability; in addition, there is an upper-limit
magnetic field for the system of attractive interactions with (ɑ n +
\varepsilon_{F}/3) negative. (2) At the whole high-temperature extent,
the system with repulsive interactions is always stable, but for the system with
attractive interactions, the greater the scattering length of attractive
interactions | a | is, the stronger the magnetic field is and the larger the
particle-number density is, the bigger the possibility of instability in the system
will be.

We study the effects of correlations between quantum and pump noises on fluctuations
of the laser intensity in a saturation laser model. An approximative Fokker--Planck
equation and analytic expressions of the steady-state probability distribution
function (SPD) of the laser system are derived. Based on the SPD, the normalized
mean, the normalized variance, and the normalized skewness of the steady-state laser
intensity are calculated numerically. The results indicate that (i) the correlation
strength \lambda of correlated noises always enhances the fluctuation of laser
intensity; (ii) the correlation time \tau of correlated noises strengthens the
fluctuation of laser intensity for the below-threshold case but \tau weakens it
for the above-threshold case.

In this paper conventional stochastic resonance (CSR) is realized by adding the
noise intensity. This demonstrates that tuning the system parameters with fixed
noise can make the noise play a constructive role and realize parameter-induced
stochastic resonance (PSR). PSR can be interpreted as changing the intrinsic
characteristic of the dynamical system to yield the cooperative effect between the
stochastic-subjected nonlinear system and the external periodic force. This can be
realized at any noise intensity, which greatly differs from CSR that is realized
under the condition of the initial noise intensity not greater than the resonance
level. Moreover, it is proved that PSR is different from the optimization of system
parameters.

Based on the Lü system, a new chaotic system is constructed, which can generate
a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new
attractor when its parameters are chosen appropriately. The detailed dynamical
behaviours of this system are also investigated, including equilibria and stability,
bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit
diagram is designed for the verification of various attractors.

This paper proposes a new simple autonomous chaotic system which can
generate multi-scroll chaotic attractors. The characteristic of this new
multi-scroll chaotic system is that the 4n+2m+4-scroll chaotic attractors are
generated easily with n and m varying under n \le m. Various number of scroll
chaotic attractors are illustrated not only by computer simulation but also
by the realization of an electronic circuit experiment on EWB (Electronics
Workbench).

This paper presents a synchronization method, motivated from the constructive
controllability analysis, for two identical chaotic systems. This technique is
applied to achieve perfect synchronization for Lorenz systems and coupled dynamo
systems. It turns out that states of the drive system and the response system are
synchronized within finite time, and the reaching time is independent of initial
conditions, which can be specified in advance. In addition to the simultaneous
synchronization, the response system is synchronized un-simultaneously to the drive
system with different reaching time for each state. The performance of the resulting
system is analytically quantified in the face of initial condition error, and with
numerical experiments the proposed method is demonstrated to perform well.

This paper reports that an impulsive control theory for synchronization of nonlinear
R?ssler chaotic systems is developed. A new framework for impulsive
synchronization between such chaotic systems is presented, which makes the
synchronization error system a linear impulsive control system. Therefore, it is
easy to derive the impulsive synchronization law. The proposed impulsive control
scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation
results demonstrate the effectiveness of the method.

In this paper, a new numerical simulation approach is proposed for the
study of open-loop frequency response of a chaotic masking system. Using
Chua's circuit and the Lorenz system as illustrative examples, we have shown
that one can employ chaos synchronization to separate the feedback network
from a chaotic masking system, and then use numerical simulation to obtain
the open-loop synchronization response, the phase response, and the
amplitude response of a chaotic masking system. Based on the analysis of the
frequency response, we have also proved that changing the amplitude of the
exciting (input) signal within normal working domain does not influence the
frequency response of the chaotic masking system. The new numerical
simulation method developed in this paper can be extended to consider the
open-loop frequency response of other systems described by differential or
difference equations.

This paper reports on the fabrication and characterization of a newly erbium-doped
single-mode tellurite glass-fibre applicable for 1.5-μum optical amplifiers. A
very broad erbium amplified spontaneous emission in the range 1450--1650nm from
erbium-doped single-mode tellurite glass-fibre is obtained upon excitation of a
980-nm laser diode. The effects of the length of glass-fibre and the pumping power
of laser diode on the amplified spontaneous emission are discussed. The result
indicates that the tellurite glass-fibre is a promising candidate for designing
fibre-optic amplifiers and lasers.

In the framework of Regge phenomenology and meson--meson mixing, this paper
estimates the mass of isoscalar state ( s\bar s) of the ^{1}3D_{1}
meson nonet, and the results given by two different approaches are 1735.51\pm59MeV
and 1730.29\pm46.8MeV.

In this paper the laser-phase determination methods and transfer equations are
presented to directly reconstruct the detailed temporal structures
of ultra-short extreme ultraviolet (xuv) pulses from the measured
photoelectron energy spectra (PES). Each transfer equation
includes one of PID
(proportional-integral-differential) terms of PES. The
intensity and instantaneous frequency of attosecond xuv can be
retrieved from the integral term of PES. The
intensity profiles of narrow bandwidth atto- and femtosecond xuvs
can be rebuilt from the proportional and
differential terms of PES respectively. The
methods and equations may be used to improve time resolutions in
measuring ultrashort pulses.

Collisional quantum interference (CQI) on the intramolecular rotational energy
transfer is observed in an experiment with a static cell, and the integral
interference angles are measured. To obtain more accurate information, an experiment
with a molecular beam is carried out, and thereby the relationship between the
differential interference angle and the scattering angle is obtained. Based on the
first-Born approximation of time-dependent perturbation theory, the theoretical
model of CQI is developed in an atom--diatom system in the condition of the
molecular beam, with the long-range interaction potential taken into account. The
method of measuring correctly the differential interference angle is presented. The
tendencies of the differential interference angle changing with the impact parameter
and relative velocity are discussed. The theoretical model presented here is
important for understanding or performing the experiment in the molecular beam.

The reasonable dissociation limit of the second excited singlet state
B^{1}∏ of ^{7}LiH molecule is obtained. The accurate dissociation energy and
equilibrium geometry of the B^{1}\Pi state are calculated using a
symmetry-adapted-cluster configuration--interaction method in full active space. The
whole potential energy curve for the B^{1}∏ state is obtained over the
internuclear distance ranging from about 0.10nm to 0.54nm, and has a least-square
fit to the analytic Murrell--Sorbie function form. The vertical excitation energy is
calculated from the ground state to the
B^{1}∏ state and compared with previous theoretical results. The
equilibrium internuclear distance obtained by geometry optimization is found to be
quite different from that obtained by single-point energy scanning under the same
calculation condition. Based on the analytic potential energy function, the harmonic
frequency value of the B^{1}∏ state is estimated. A comparison of the
theoretical calculations of dissociation energies, equilibrium interatomic distances
and the analytic potential energy function with those obtained by previous
theoretical results clearly shows that the present work is more comprehensive and in
better agreement with experiments than previous theories, thus it is an improvement
on previous theories.

The mode hopping phenomenon induced by optical feedback in single-mode microchip
Nd:YAG lasers is presented. With optical feedback, mode hopping strongly depends on
two factors: the ratio of external cavity length to intra-cavity length, and initial
gains of the two hopping modes. When external cavity length equals an integral
multiple of intra-cavity length, there is almost no mode hopping. However, if the
external cavity length does not equal an integral multiple of intra-cavity length,
mode hopping occurs. The ratio of external cavity length to intra-cavity length
determines the position of two-mode hopping. The initial gains of the two hopping
modes determine the corresponding peak values and oscillating periods of them in the
intensity modulation curves.

This paper reports that when an intense extraordinary-polarized laser beam
illuminates a photorefractive BaTiO_{3} crystal, the dynamic beam fanning light is
formed to be a thermal-like light source with a long correlation time and wide
spectral bandwidth. The experimental results of the first- and second-order
double-slit interference with such photorefractive fanning light source, can be
understood with the theoretical simulation in terms of Hanbury-Brown and Twiss
effect.

Considering two light beams which are in general single-mode Gaussian states
and incident on input ports of an ideal beam splitter, respectively,
this paper
investigates how separability and entanglement of the output lights depend on
degrees of nonclassicality and purities of the input states. The minimum and
maximum amounts of attainable entanglement in the output state are found.

In this paper, we propose a physical scheme to concentrate non-maximally entangled
atomic pure states by using atomic collision in a far-off-resonant cavity. The most
distinctive advantage of our scheme is that the non-maximally entangled atoms may be
far from or near each other and their degree of entanglement can be maximally
amplified. The photon-number-dependent parts in the effective Hamiltonian are
cancelled with the assistance of a strong classical field, thus the scheme is
insensitive to both the cavity decay and the thermal field.

We report the study on a short wavelength-tunable vertical-cavity
surface-emitting laser utilizing a monolithically integrated bridge tuning
microelectromechanical system. A deformable-bridge top mirror
suspended above an active region is utilized. Applied bridge-substrate bias
produces an electrostatic force which reduces the spacing of
air-gap and tunes the resonant wavelength toward a shorter wavelength
(blue-shift). Good laser characteristics are obtained: such as continuous tuning
ranges over 11 nm near 940 nm for 0--9 V tuning bias, the peak output power
near 1 mW and the full-width-half-maximum limited to approximately
3.2--6.8 nm. A detailed simulation of the micromechanical and optical
characteristics of these devices is performed, and the ratio of
bridge displacement to wavelength shift has been found to be 3:1.

In this paper the temperature-related performances of the Yb^{3+}:YAG disc laser
has been investigated based on quasi-three level rate equation model. A compact
diamond window cooling scheme also has been demonstrated. In this cooling scheme,
laser disc is placed between two thin discs of single crystal synthetic diamond, the
heat transfer from Yb^{3+}:YAG to the diamond, in the direction of the optical
axis, and then rapidly conducted radically outward through the diamond to the
cooling water at the circumference of the diamond/Yb^{3+}:YAG assembly.
Simulation results show that increasing the thickness of the diamond and the
overlap-length (between diamond and water) decreases the disc temperature. Therefore
a 0.3--0.5mm thick diamond window with the overlap-length of 1.5--2.0mm will
provide acceptable cost effective cooling, e.g., with a pump intensity of
15kW/cm^{2} and repetitive rate of 10Hz, to keep the maximum temperature of the
lasing disc below a reasonable value (310K), the heat exchange coefficient of water
should be about 3000 W/m^{2}K.

In this paper a comprehensive framework for treating the nonlinear propagation of
ultrashort pulse in metamaterial with dispersive dielectric susceptibility and
magnetic permeability is presented. Under the slowly-evolving-wave approximation, a
generalized (3+1)-dimensional wave equation first order in the propagation
coordinate and suitable for both right-handed material (RHM) and left-handed
material (LHM) is derived. By the commonly used Drude dispersive model for LHM, a
(3+1)-dimensional nonlinear Schr?dinger equation describing ultrashort pulsed
beam propagation in LHM is obtained, and its difference from that for conventional
RHM is discussed. Particularly, the self-steeping effect of ultrashort pulse is
found to be anomalous in LHM.

In this paper the photorefractive sensitivity defined for single-centre holographic
recording is modified to adapt two-centre holographic recording. Based on the time
analytic solution of Kukhtarev equations for doubly doped crystals, the analytical
expression of photorefractive sensitivity is given. For comparison with
single-centre holographic recording and summing the electron competition effects
between the deeper and shallower traps, an effective electron transport length is
proposed, which varies with the intensity ratios of recording light to sensitive
light. According to analyses in this paper, the lower photorefractive sensitivity
in two-centre holographic recording is mainly due to the lower concentration of
unionized dopants in the shallower centre and the lower effective electron
transport length.

We have performed numerical simulations of localized travelling-wave convection in a
binary fluid mixture heated from below in a long rectangular container. Calculations
are carried out in a vertical cross section of the rolls perpendicular to their
axes. For a negative enough separation ratio, two types of quite different confined
states were documented by applying different control processes. One branch of
localized travelling waves survives only in a very narrow band within subcritical
regime, while another branch straddles the onset of convection existing both in
subcritical and supercritical regions. We elucidated that concentration field and
its current are key to understand how confined convection is sustained when
conductive state is absolutely unstable. The weak structures in the conducting
region are demonstrated too.

PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES

A phase-controlled lower hybrid wave (LHW) multi-junction (MJ) coupler
(3(rows)×(columns)× (subwaveguides)) has been developed in the
HT-7 tokamak. Simulations show that it is more effective for driving plasma current
than an ordinary phase-controlled LHW antenna (3(rows)×12(columns))
(traditional coupler). The plasma--wave coupling experiments show that the
reflection coefficient (RC) is below 10%, implying that the MJ grill can launch
the wave into the plasma effectively. The effect of power spectrum launched by the
MJ coupler on RC indicates that an optimal condition is requisite for a better
coupling in the lower hybrid current drive (LHCD) experiments. Studies indicate that
the drive efficiency of the MJ antenna is higher than that of the traditional one,
which is mainly ascribed to the discrepancy in impurity concentration, plasma
temperature, and spectrum directivity. An improved confinement with an electron
internal transport barrier is obtained by LHCD. The analysis shows that the
modified negative (low) magnetic shear and the change of radial electric field
profile due to LHCD are possible factors responsible for the eITB formation.

In this paper, the radiation losses of impurity on HL-2A have been simulated by
assuming the profiles electron temperature and density and solving ionization rate
equation under conditions of non-coronal radiation. The time required for an
impurity species to establish equilibrium is proved to be sensitively dependent on
the plasma electron temperature, and it is strongly correlated with the ionization
state distribution during equilibrium establishment of impurity species. It is found
from simulation results that the residence parameter plays an important role in the
enhancement of radiation losses of plasma.

CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES

Based on structural and bonding features, a new classification scheme of
superconductors is proposed to classify them into three classes: three-dimensional,
two-dimensional and molecule-assembled superconductors. The sandwich model' for the
high-T_{c} cuprates is extended to a `binary structure model': i.e., the
crystal structure of most superconductors can be partitioned into two parts, a
superconducting active component and a supplementary component. Partially metallic
covalent bonding is found to be a common feature in all superconducting active
components, and the electron states of the atoms in the active components usually
make a dominant contribution to the energy band near the Fermi surface. Possible
directions to explore new superconductors are discussed based on the structural
classification and the binary structure model.

CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES

We employ a first-principles plane wave method with the
relativistic analytic pseudopotential of Hartwigsen, Goedecker and Hutter
(HGH) scheme in the frame of DFT to calculate
the equilibrium lattice parameters and the thermodynamic properties of
AlB_{2} compound with hcp structure. The obtained lattice parameters are in
good agreement with the available experimental data and those calculated by
others. Through the quasi-harmonic Debye model, obtained successfully are
the dependences of the
normalized lattice parameters a/a_{0} and c/c_{0} on pressure P, the normalized
primitive cell volume V/V_{0} on pressure P, the variation of the thermal
expansion α with pressure P and temperature T, as well as the Debye
temperature \Theta_{D} and the heat capacity C_{V} on pressure P and
temperature T.

We have proposed a method to separate Rashba and Dresselhaus spin splittings in
semiconductor quantum wells by using the intrinsic Hall effect. It is shown that the
interference between Rashba and Dresselhaus terms can deflect the electrons in
opposite transverse directions with a change of sign in the macroscopic Hall
current, thus providing an alternative way to determine the different contributions
to the spin--orbit coupling.

This paper studies the critical behaviours and magnetic properties of
three-dimensional bond and anisotropy dilution Blume--Capel model (BCM) in the
presence of an applied field within the effective field theory. The trajectory of
tricritical point, reentrant transitions and degenerate patterns of anisotropy are
obtained both for the bond and the anisotropy dilutions. The global phase diagrams
demonstrate unusually reentrant phenomena. The temperature dependences of
magnetization curves undergo remarkable spin glass behaviour at low temperatures,
and transform from ferromagnetism to paramagnetism at high temperature in applied
fields. Temperature dependence of magnetic susceptibility curve is in qualitative
agreement with experimental result.

8000 CROSSDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY

Many classical encoding algorithms of vector quantization (VQ) of image compression
that can obtain global optimal solution have computational complexity O(N). A pure
quantum VQ encoding algorithm with probability of success near 100% has been
proposed, that performs operations 45\sqrt{N} times approximately. In this paper,
a hybrid quantum VQ encoding algorithm between the classical method and the
quantum algorithm is presented. The number of its operations is less than \sqrt{N}
for most images, and it is more efficient than the pure quantum algorithm.

The stress tensor of a massless scalar field satisfying a mixed boundary condition
in a ( 1+1)-dimensional Reissner--Nordstr?m black hole background is
calculated by using Wald's axiom. We find that Dirichlet stress tensor and Neumann
stress tensor can be deduced by changing the coefficients of the stress tensor
calculated under a mixed boundary condition. The stress tensors satisfying Dirichlet
and Neumann boundary conditions are discussed. In addition, we also find that the
stress tensor in conformal flat spacetime background differs from that in flat
spacetime only by a constant.

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