物理学 |
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相干态辐射场的Husimi分布函数在非对易相空间中的表示 |
王兴忠 |
宁波财经学院,浙江 宁波 315175 |
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Representation of Husimi distribution function of coherent state radiation field in non-commutative phase space |
WANG Xingzhong |
Ningbo University of Finance & Economics, Ningbo 315175, Zhejiang Province, China |
1 RIVASA M F, VERGINIE G, WISNIACKID A. Smoothed Wigner functions: A tool to resolve semiclassical structures[J]. The European Physical Journal D-Atomic,Molecular, Optical and Plasma Physics, 2005, 32(3): 355-359.DOI:10.1140/epjd/e2004-00189-8 2 COLOMÉSE, ZHANZ, ORIOLSX. Comparing Wigner, Husimi and Bohmian distributions: Which one is a true probability distribution in phase space?[J]. Journal of Computational Electronics, 2015, 14(4): 894-906. DOI:10.1007/s10825-015-0737-6 3 APPLEBYD M. Generalized Husimi functions: Analyticity and information content[J]. Journal of Modern Optics, 1999, 46(5): 825-841.DOI:10.1080/095003499149566 4 JAFAROVE I, LIEVENSS, NAGIYEVS M, et al. The Wigner function of a q-deformed harmonic oscillator model[J]. Quantum Physics, 2007,2(20): 5427-5441. 5 OREGII, ARRANZF J. Distribution of zeros of the Husimi function in systems with degeneracy[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2014, 89(2): 022909. DOI:10.1103/physreve.89.022909 6 ARRANZF J, SEIDELL, GIRALDAC G, et al. Onset of quantum chaos in molecular systems and the zeros of the Husimi function[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2013, 87(6): 062901.DOI:10.1103/physreve.87.062901 7 KA X L. Advanced Quantum Mechanics [M]. 2nd ed. Beijing: Higher Education Press, 2001:194-196. 8 MOYALALJ E. Quantum mechanics as a statistical theory[J]. Proceedings of the Cambridge Philosophical Society, 1949, 45(1): 99-124. 9 ANDREEVV A, DAVIDOVIĆD M, DAVIDOVIĆL D, et al. A transformational property of the Husimi function and its relation to the wigner function and symplectic tomograms[J]. Theoretical and Mathematical Physics, 2011, 166(3): 356-368.DOI:10.1007/s11232-011-0028-8 10 MAMATJ, DULATS, MAMATABDULLAH. Landau-like atomic problem on a non-commutative phase space[J]. International Journal of Theoretical Physics, 2016,55(6): 2913-2918.DOI:10.1007/s10773-016-2922-1 11 ZAIMS, GUELMAMENEH, DELENDAY. Negative heat capacity for a Klein–Gordon oscillator in non-commutative complex phase space[J]. International Journal of Geometric Methods in Modern Physics, 2017, 14(10): 1750141.DOI:10.1142/s0219887817501419 12 GOUBAL. A comparative review of four formulations of noncommutative quantum mechanics[J]. International Journal of Modern Physics A, 2016, 31(19): 1630025.DOI:10.1142/s0217751x16300258 13 HALDERA, GANGOPADHYAYS. Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field[J]. International Journal of Theoretical Physics, 2017, 56(6): 1831-1844.DOI:10.1007/s10773-017-3328-4 14 LINB S. Study on Some Problems of Physics System in Non-commutative Space[D]. Hefei: University of Science and Technology of China, 2010. 15 VAMEGHS A M, TAVASSOLY M K. Geometric phases of nonlinear coherent and squeezed states: A new approach[J]. Journal of Physics: B Atomic Molecular and Optical Physics, 2013, 46(1):015503. 16 DIAS N C, PRATA J N. Admissible states in quantum phase space[J]. Annals of Physics, 2004, 313(1): 110-146. DOI:10.1016/j.aop.2004.03.008 17 LEE H W. Generalized anti normally ordered quantum phase-space distribution functions[J]. Physical Review A, 1994, 50(3): 2746-2749. |
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