Chin. Phys. Lett.  1997, Vol. 14 Issue (4): 241-244    DOI:
Original Articles |
Exact Expressions of Energy Spectrum and Partition Function for Quantum Quadratic Systems
PAN Jian-wei1,2;ZHANG Yong-de1;G. G. Siu3
1Department of Modern Physics, University of Science and Technology of China, Hefei 230027 2Present address: Institute of Experimental Physics, University of Innsbruck, Austria 3Department of Physics and Materials Sciences, City University of Hongkong, Kwoloon, Hongkong
Cite this article:   
PAN Jian-wei, ZHANG Yong-de, G. G. Siu 1997 Chin. Phys. Lett. 14 241-244
Download: PDF(184KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Based on the linear quantum transformation theory, we present a new approach to obtain the explicit expressions of energy spectrum and simplify the derivations of partition functions for general multi-mode boson and fermion quadratic systems.
Keywords: 03.65.Fd      05.30.-d      42.50.-p     
Published: 01 April 1997
PACS:  03.65.Fd (Algebraic methods)  
  05.30.-d (Quantum statistical mechanics)  
  42.50.-p (Quantum optics)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y1997/V14/I4/0241
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
PAN Jian-wei
ZHANG Yong-de
G. G. Siu
Related articles from Frontiers Journals
[1] LIAN Jin-Ling, ZHANG Yuan-Wei, LIANG Jiu-Qing. Macroscopic Quantum States and Quantum Phase Transition in the Dicke Model[J]. Chin. Phys. Lett., 2012, 29(6): 241-244
[2] LIU Kui, CUI Shu-Zhen, YANG Rong-Guo, ZHANG Jun-Xiang, GAO Jiang-Rui. Experimental Generation of Multimode Squeezing in an Optical Parametric Amplifier[J]. Chin. Phys. Lett., 2012, 29(6): 241-244
[3] TAO Yong*,CHEN Xun. Statistical Physics of Economic Systems: a Survey for Open Economies[J]. Chin. Phys. Lett., 2012, 29(5): 241-244
[4] ZHOU Jun,SONG Jun,YUAN Hao,ZHANG Bo. The Statistical Properties of a New Type of Photon-Subtracted Squeezed Coherent State[J]. Chin. Phys. Lett., 2012, 29(5): 241-244
[5] Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 241-244
[6] LIU Yang, WU Jing-Hui, SHI Bao-Sen, GUO Guang-Can. Realization of a Two-Dimensional Magneto-optical Trap with a High Optical Depth[J]. Chin. Phys. Lett., 2012, 29(2): 241-244
[7] HU Xin, LIU Gang-Qin, XU Zhang-Cheng, PAN Xin-Yu. Influence of Microwave Detuning on Ramsey Fringes of a Single Nitrogen Vacancy Center Spin in Diamond[J]. Chin. Phys. Lett., 2012, 29(2): 241-244
[8] LIN Bing-Sheng**, HENG Tai-Hua . Energy Spectra of the Harmonic Oscillator in a Generalized Noncommutative Phase Space of Arbitrary Dimension[J]. Chin. Phys. Lett., 2011, 28(7): 241-244
[9] ZHANG Min-Cang**, HUANG-FU Guo-Qing . Analytical Approximation to the -Wave Solutions of the Hulthén Potential in Tridiagonal Representation[J]. Chin. Phys. Lett., 2011, 28(5): 241-244
[10] O. Bayrak**, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues[J]. Chin. Phys. Lett., 2011, 28(4): 241-244
[11] ZHA Xin-Wei**, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant[J]. Chin. Phys. Lett., 2011, 28(2): 241-244
[12] WANG Ji-Suo, **, MENG Xiang-Guo, FAN Hong-Yi . A Family of Generalized Wigner Operators and Their Physical Meaning as Bivariate Normal Distribution[J]. Chin. Phys. Lett., 2011, 28(10): 241-244
[13] CHEN Zhi-Hua**, LIN Xiu-Min . Generating Entangled States of Multilevel Atoms through a Selective Atom-Field Interaction[J]. Chin. Phys. Lett., 2011, 28(1): 241-244
[14] MA Shan-Jun, XU Xue-Xiang. A New Approach for Constructing New Coherent-Entangled State Representations[J]. Chin. Phys. Lett., 2010, 27(9): 241-244
[15] HENG Tai-Hua, LIN Bing-Sheng, JING Si-Cong. Wigner Functions for the Bateman System on Noncommutative Phase Space[J]. Chin. Phys. Lett., 2010, 27(9): 241-244
Viewed
Full text


Abstract