Please wait a minute...
Chinese Physics, 2002, Vol. 11(6): 553-560    DOI: 10.1088/1009-1963/11/6/307
GENERAL Prev   Next  

Multi-mode q-oscillator algebras with q2(k+1)=1 and related thermo field dynamics

Gao Ya-Jun (高亚军)
Department of Physics, Jinzhou Teachers College, Jinzhou 121003, China
Abstract  A type of multi-mode q-oscillator algebra with q2(k+1)=1 is set up and the associated qk-thermo field dynamics is constructed for all k=1,2,…,∞ in a unified form. It is demonstrated that these qk-thermo field dynamics can all be nicely fitted into the algebraic formulation of statistical mechanics (axiomatized form for statistical physics). This means that we obtain infinitely many realizations of the algebraic scheme, which extend the consideration of Ojima [1981 Ann. Phys. 137 1] and contain the usual thermo field dynamics for the fermionic (k=1) and bosonic (k=∞) systems as special cases. As simple applications, the qk-statistical average of some operators are given.
Keywords:  multi-mode qk-oscillator algebra      qk-thermo field dynamics      algebraic formulation of statistical mechanics  
Received:  06 July 2001      Revised:  06 January 2002      Accepted manuscript online: 
PACS:  03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties)  
  02.10.De (Algebraic structures and number theory)  
  05.30.Fk (Fermion systems and electron gas)  
  05.30.Jp (Boson systems)  
Fund: Project supported by the Key Science Foundation from Education Commission of Liaoning Province, China (Grant No 990411013).

Cite this article: 

Gao Ya-Jun (高亚军) Multi-mode q-oscillator algebras with q2(k+1)=1 and related thermo field dynamics 2002 Chinese Physics 11 553

[1] Spin-orbit coupling adjusting topological superfluid of mass-imbalanced Fermi gas
Jian Feng(冯鉴), Wei-Wei Zhang(张伟伟), Liang-Wei Lin(林良伟), Qi-Peng Cai(蔡启鹏), Yi-Cai Zhang(张义财), Sheng-Can Ma(马胜灿), and Chao-Fei Liu(刘超飞). Chin. Phys. B, 2022, 31(9): 090305.
[2] Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates
Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(6): 060305.
[3] Manipulating vortices in F=2 Bose-Einstein condensates through magnetic field and spin-orbit coupling
Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(4): 040306.
[4] Adjustable half-skyrmion chains induced by SU(3) spin-orbit coupling in rotating Bose-Einstein condensates
Li Wang(王力), Ji Li(李吉), Xiao-Lin Zhou(周晓林), Xiang-Rong Chen(陈向荣), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2021, 30(11): 110312.
[5] Fulde-Ferrell-Larkin-Ovchinnikov states in equally populated Fermi gases in a two-dimensional moving optical lattice
Jin-Ge Chen(陈金鸽), Yue-Ran Shi(石悦然), Ren Zhang(张仁), Kui-Yi Gao(高奎意), and Wei Zhang(张威). Chin. Phys. B, 2021, 30(10): 100305.
[6] Superfluid phases and excitations in a cold gas of d-wave interacting bosonic atoms and molecules
Zehan Li(李泽汉), Jian-Song Pan, and W Vincent Liu. Chin. Phys. B, 2021, 30(6): 066703.
[7] Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid
Siqi Shao(邵思齐), Kezhao Zhou(周可召), Zhidong Zhang(张志东). Chin. Phys. B, 2019, 28(7): 070501.
[8] Indium doping effect on properties of ZnO nanoparticles synthesized by sol-gel method
S Mourad, J El Ghoul, K Omri, K Khirouni. Chin. Phys. B, 2019, 28(4): 047701.
[9] Trapped Bose-Einstein condensates with quadrupole-quadrupole interactions
An-Bang Wang(王安邦), Su Yi(易俗). Chin. Phys. B, 2018, 27(12): 120307.
[10] Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
EJKP Nandani, Xi-Wen Guan(管习文). Chin. Phys. B, 2018, 27(7): 070306.
[11] Electronic and magnetic properties of semihydrogenated, fully hydrogenated monolayer and bilayer MoN2 sheets
Yan-Chao She(佘彦超), Zhao Wei(魏昭), Kai-Wu Luo(罗开武), Yong Li(李勇), Yun Zhang(张云), Wei-Xi Zhang(张蔚曦). Chin. Phys. B, 2018, 27(6): 060306.
[12] Tunable ground-state solitons in spin-orbit coupling Bose-Einstein condensates in the presence of optical lattices
Huafeng Zhang(张华峰), Fang Chen(陈方), Chunchao Yu(郁春潮), Lihui Sun(孙利辉), Dahai Xu(徐大海). Chin. Phys. B, 2017, 26(8): 080304.
[13] Matter wave interference of dilute Bose gases in the critical regime
Xuguang Yue(乐旭广), Shujuan Liu(刘淑娟), Biao Wu(吴飙), Hongwei Xiong(熊宏伟). Chin. Phys. B, 2017, 26(5): 050501.
[14] Effect of disorders on topological phases inone-dimensional optical superlattices
Zhizhou Wang(王志宙), Yidong Wu(吴一东), Huijing Du(杜会静), Xili Jing(井西利). Chin. Phys. B, 2016, 25(7): 077303.
[15] Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field
Duan-Liang Xiao(肖端亮), Meng-Yun Lai(赖梦云), Xiao-Yin Pan(潘孝胤). Chin. Phys. B, 2016, 25(1): 010307.
No Suggested Reading articles found!