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Chin. Phys. B  
  Chin. Phys. B--2003, Vol.12, No.10
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Evolution property of soliton solutions for the Whitham-Broer-Kaup equation and variant Boussinesq equation

Lin Ji, Xu You-Sheng, Wu Feng-Min
Chin. Phys. B 2003, 12 (10): 1049 ;  doi: 10.1088/1009-1963/12/10/001
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Using the standard Painlevé analysis approach, the (1+1)-dimensional Whitham-Broer-Kaup (WBK) and variant Boussinesq equations are solved. Some significant and exact solutions are given. We investigate the behaviour of the interactions between the multi-soliton-kink-type solution for the WBK equation and the multi-solitonic solutions and find the interactions are not elastic. The fission of solutions for the WBK equation and the fusions of those for the variant Boussinesq equation may occur after their interactions.

Bound states of the Klein-Gordon and Dirac equations for potential V(r)=Ar-2-Br-1

Qiang Wen-Chao
Chin. Phys. B 2003, 12 (10): 1054 ;  doi: 10.1088/1009-1963/12/10/002
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The exact normalized bound-state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potentials s(r)=v(r)=V(r)/2=(Ar-2-Br-1)/2.

Form invariance for systems of generalized classical mechanics

Zhang Yi, Mei Feng-Xiang
Chin. Phys. B 2003, 12 (10): 1058 ;  doi: 10.1088/1009-1963/12/10/003
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This paper presents a form invariance of canonical equations for systems of generalized classical mechanics. According to the invariance of the form of differential equations of motion under the infinitesimal transformations, this paper gives the definition and criterion of the form invariance for generalized classical mechanical systems, and establishes relations between form invariance, Noether symmetry and Lie symmetry. At the end of the paper, an example is given to illustrate the application of the results.

Minimum signals in classical physics

Deng Wen-Ji, Xu Ji-Huan, Liu Ping
Chin. Phys. B 2003, 12 (10): 1062 ;  doi: 10.1088/1009-1963/12/10/004
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The bandwidth theorem for Fourier analysis on any time-dependent classical signal is shown using the operator approach to quantum mechanics. Following discussions about squeezed states in quantum optics, the problem of minimum signals presented by a single quantity and its squeezing is proposed. It is generally proved that all such minimum signals, squeezed or not, must be real Gaussian functions of time.

Quantum teleportation of entangled squeezed vacuum states

Cai Xin-Hua
Chin. Phys. B 2003, 12 (10): 1066 ;  doi: 10.1088/1009-1963/12/10/005
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An optical scheme for probabilistic teleporting entangled squeezed vacuum states (SVS) is proposed. In this scheme, the teleported state is a bipartite entangled SVS, and the quantum channel is a tripartite entangled SVS. The process of the teleportation is achieved by using a 50/50 symmetric beamsplitter and photon detectors with the help of classical information.

Teleportation of a multiqubit state by an entangled qudit channel

Zheng Yi-Zhuang, Gu Yong-Jian, Wu Gui-Chu, Guo Guang-Can
Chin. Phys. B 2003, 12 (10): 1070 ;  doi: 10.1088/1009-1963/12/10/006
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We investigate the problem of teleportation of an M-qubit state by using an entangled qudit pair as a quantum channel and show that the teleportation of a multiparticle state can correspond to the teleportation of a multi-dimensional state. We also introduce a quantum-state converter composed of beamsplitter arrays, on/off-detectors and cross-Kerr couplers and demonstrate that the state conversion from an M-qubit to an N-dimensional qudit and vice versa can be implemented with this converter, where N=2^M. Based on this, an experimentally feasible scheme for the teleportation of an M-qubit via an entangled N-level qudit pair channel is proposed.

Evaluation of the applicability of a retrospective scheme based on comparison with several difference schemes

Feng Guo-Lin, Dong Wen-Jie
Chin. Phys. B 2003, 12 (10): 1076 ;  doi: 10.1088/1009-1963/12/10/007
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The evaluation of the applicability of a retrospective multi-time-level scheme (RT scheme) is carried out on the basis of comparison with the common leapfrog scheme (LF scheme) and its derivatives, and modified BOTT's positive-definite schemes used in atmospheric models. Two rational flow field tests confirm that at least the BOTT scheme tested may be applied, but apparently the best results are obtained by the RT scheme. The results of wavelet analysis show that the RT scheme can better extract the useful information from the initial fields, i.e. to memorize many main initial characteristics, such as periods, thus offering a new approach to the short-term climate numerical prediction.

The periodic magnetized cylinder tube for atom guidance: quantized motion analysis

Li Dai-Jun, Zhou Bo, Hu Zheng-Feng, Li Shi-Qun
Chin. Phys. B 2003, 12 (10): 1087 ;  doi: 10.1088/1009-1963/12/10/008
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We have analysed the transport efficiency of an atomic waveguide constructed from a periodic axially magnetized hollow tube. We took into consideration the quantized motion of the atom inside the magnetic hollow cylinder tube, which is significant for the transportation of cold atoms. We deduced the quantized motion modes of the atomic waves in the tube by the approximation of infinite potential, which is valid for cold atoms and strong magnetization. For the atomic waveguide with weak magnetization, we have calculated the tunnelling effect of the atomic wave. The adiabatic condition for the motion of cold atoms is discussed. A time orbit potential method for solving the "zero magnetic field problem" is proposed.

Excitonic level structures of LH1 and LH2 of purple photosynthetic bacteria using an analytical approach

Yang Guang-Can, Wang Li, Yang Guo-Zhen
Chin. Phys. B 2003, 12 (10): 1096 ;  doi: 10.1088/1009-1963/12/10/009
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The excitonic level structure of a ring-like chain of dimers is discussed analytically in order to aid the understanding of the possible spectral properties of LH1 and LH2 of purple photosynthetic bacteria. Under the approximation of dipole-dipole interaction between Bchls, the excitonic levels, bandwidths and energy gap between two Davydov subbands are expressed analytically in terms of interaction energies and configurational parameters of dipoles. Our model includes all the interactions between pigment molecules in the system. The oscillator strengths and circular dichroism (CD) for the excitonic states are also presented analytically. The simulated absorption and CD spectra of LH1 and LH2 complexes reproduce the main features of the measured results.

Modulated stochastic multiresonance in single-mode laser system without input periodic signal

Liang Gui-Yun, Cao Li, Wu Da-Jin
Chin. Phys. B 2003, 12 (10): 1105 ;  doi: 10.1088/1009-1963/12/10/010
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The stochastic resonance phenomenon in a single-mode laser system driven by multiplicative and additive Gaussian white noises without external periodic force is studied. We find that there are multiple extrema (maximum) in the curve of the mean output laser intensity versus the logarithm of multiplicative noise level. This phenomenon reveals that the mean output laser intensity can be amplified at several values of the multiplicative noise intensity, whose peaks are likely modulated by a sinusoidal function.

Statistical properties of a single-mode laser driven by additive and multiplicative coloured noises with a coloured cross-correlation for different correlation times

Liang Gui-Yun, Cao Li, Zhang Li, Wu Da-Jin
Chin. Phys. B 2003, 12 (10): 1109 ;  doi: 10.1088/1009-1963/12/10/011
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We study a system for a single-mode laser driven by additive and multiplicative coloured noises with a coloured cross-correlation. The analytical expression of the stationary intensity distribution (SID) for the laser is derived in the case of three different correlation times. The influences of each stochastic parameter on the SID are discussed, the effects of the noise "colour" and the cross-correlation of noises on the mean intensity , the variance, λ_2(0), and the skewness,λ_3(0) of the single-mode laser are investigated. We find that there are colourful phase transitions for the SID above a threshold, and re-entrant transitions induced by the "colour" of the additive noises. Further research of the curves of -τ_i, λ_2(0)-τ_i, and λ_3(0)-τ_i (i=1,2,3) (where τ_i is the correlation time) shows that the output intensity not only increases with the additive noise correlation time τ_2 and the cross-correlation time τ_3, but also the quality of the output of laser beams is optimized.

Low frequency fluctuation with two external cavity reflectors

Wang Chun-Lin, Wu Jian, Lin Jin-Tong
Chin. Phys. B 2003, 12 (10): 1120 ;  doi: 10.1088/1009-1963/12/10/012
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The dynamics of a semiconductor laser with two optical feedbacks is studied in this paper. A new set of nonlinear rate equations that can describe external cavity semiconductor lasers with any amount of two optical feedbacks is proposed. It is found that when the laser is biased above the threshold and subjected to one feedback, the other feedback can induce low-frequency fluctuations.

Self-deflection of a bright soliton in a separate bright-dark spatial soliton pair based on a higher-order space charge field

Liu Jin-Song, Hao Zhong-Hua
Chin. Phys. B 2003, 12 (10): 1124 ;  doi: 10.1088/1009-1963/12/10/013
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The self-deflection of a bright solitary beam can be controlled by a dark solitary beam via a parametric coupling effect between the bright and dark solitary beams in a separate bright-dark spatial soliton pair supported by an unbiased series photorefractive crystal circuit. The spatial shift of the bright solitary beam centre as a function of the input intensity of the dark solitary beam (\hatρ) is investigated by taking into account the higher-order space charge field in the dynamics of the bright solitary beam via both numerical and perturbation methods under steady-state conditions. The deflection amount (Δs_0), defined as the value of the spatial shift at the output surface of the crystal, is a monotonic and nonlinear function of \hatρ. When \hatρ is weak or strong enough, Δs_0 is, in fact, unchanged with \hatρ, whereas Δs_0 increases or decreases monotonically with \hatρ in a middle range of \hatρ. The corresponding variation range (δs) depends strongly on the value of the input intensity of the bright solitary beam (r). There are some peak and valley values in the curve of δs versus r under some conditions. When \hatρ increases, the bright solitary beam can scan toward both the direction same as and opposite to the crystal's c-axis. Whether the direction is the same as or opposite to the c-axis depends on the parameter values and configuration of the crystal circuit, as well as the value of r. Some potential applications are discussed.

Poloidal rotation of main ions in the CT-6B tokamak

Feng Chun-Hua, Li Zan-Liang, Yang Xuan-Zong, Zheng Shao-Bai, Li Wen-Lai, Wang Long
Chin. Phys. B 2003, 12 (10): 1135 ;  doi: 10.1088/1009-1963/12/10/014
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The poloidal rotation velocity of neutral hydrogen atoms is measured using the Doppler shift of the Hα spectral line emitted in the CT-6B tokamak. The poloidal rotation of hydrogen atoms is generated through the collisions and charge-exchanges with main ions (protons). Therefore, the rotation direction of main ions can be deduced from that of neutral hydrogen atoms. The experimental results show that the main ions rotate in the electron diamagnetic drift direction, the same as the impurity ions, in the plasma core. The neutral hydrogen atoms rotate also in the electron diamagnetic drift direction in the edge region of the plasma. However, the rotation direction of main ions in the edge region cannot be judged from the experimental result due to the long mean free path of hydrogen atoms in the edge region. An inward diffusion flux of hydrogen atoms toward the torus inside with a velocity of the same order of magnitude as their poloidal rotation is also observed.

The dielectronic recombination process in laser-produced Au plasmas

Jiao Rong-Zhen, Cheng Xin-Lu, Yang Xiang-Dong
Chin. Phys. B 2003, 12 (10): 1140 ;  doi: 10.1088/1009-1963/12/10/015
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The calculations of the rate coefficients for dielectronic recombination (DR) along the NiI isoelectronic sequence in the ground state Au^{51+} through Cu-like 3d^9nln′f (n,n′=4,5,6) inner-shell excited configurations are performed using the spin-orbit-split array (SOSA) model. Resonant and nonresonant radiative stabilizing transitions and decays to autoionizing levels followed by radiative cascades are included. Collisional transitions following electron capture are neglected. The trend of the DR rate coefficients and the ratio of dielectronic satellite lines intensities with the change of the electron temperature are discussed.

Effects of matrices on Mie scattering in the mid-infrared region

Liu Xiao-Dong, Li Shu-Guang, Guo Hong-Lian, Zhang Dao-Zhong, Li Zhao-Lin, Hou Lan-Tian
Chin. Phys. B 2003, 12 (10): 1143 ;  doi: 10.1088/1009-1963/12/10/016
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Various Mie scattering systems, each having a transparent matrix, are studied in the mid-infrared region. Our three theoretical scattering systems correspond to a lossless scatterer, an anomalous dispersive dielectric scatterer and a metal scatterer, each in a non-air usual matrix. The refractive-index effects of the matrix on scattering and extinction efficiencies in the mid-infrared region are found to be quite different in different cases. Although the non-air usual matrix reduces scattering and extinction efficiencies in the first kind of system, it may or may not help scatter and extinguish the mid-infrared radiation in the second, and it has little effect on them in the third.

On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals

Liu Guan-Ting, Guo Rui-Ping, Fan Tian-You
Chin. Phys. B 2003, 12 (10): 1149 ;  doi: 10.1088/1009-1963/12/10/017
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The solution of elasticity problems involving the interaction between dislocations and cracks plays a fundamental role in many practical and theoretical applications. Although elasticity problems involving dislocation or cracks in quasi-crystals have been investigated in many papers, the analysis is limited to a single defect. This paper investigates the interaction of defects in one-dimensional hexagonal quasi-crystals using the complex variable function method. The interaction force between two parallel dislocations is presented and the analytic solutions of elastic fields of interaction between a dislocation and a crack are obtained. A version of the well-known Peach-Koehler formula in one-dimensional hexagonal quasi-crystals is given.

The complete proof of the virial theorem in the refined TFD theory for all electrons of an atom in a solid

Zhu Ru-Zeng, Qian Jin, Yang Quan-Wen, Wen Yu-Hua
Chin. Phys. B 2003, 12 (10): 1156 ;  doi: 10.1088/1009-1963/12/10/018
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The complete proof of the virial theorem in refined Thomas-Fermi-Dirac theory for all electrons of an atom in a solid is given.

Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces

Han Ping, Zhang Jie-Fang, Meng Jian-Ping
Chin. Phys. B 2003, 12 (10): 1166 ;  doi: 10.1088/1009-1963/12/10/020
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Starting from the variable separation solution obtained by using the extended homogenous balance method, a class of novel localized coherent structures such as the multi-peakon-antipeakons solution and the multi-compacton-anticompactons solution of the (2+1)-dimensional dispersive long wave equation are found by selecting appropriate functions. These new structures exhibit some novel interaction features that are different from one of the known results. Their interaction behaviour is very similar to the completely elastic collisions between two classical particles.
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