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浙江大学学报(理学版)  2016, Vol. 43 Issue (1): 75-78    DOI: 10.3785/j.issn.1008-9497.2016.01.013
数学与计算机科学     
非对易空间中的三维谐振子Wigner函数
The Wigner function of the three dimensional harmonic oscillator in noncommutative space
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摘要: 概述了量子相空间分布函数引入的依据、非对易空间与非对易相空间的基本性质;讨论了非对易空间中量子相空间分布函数的具体表现形式;给出了在对易空间和非对易相空间中定态Schr-dinger方程和Wigner函数能量本征方程的表述式;并对照了它们在3种空间中的演变规律.最后,给出了在三维非对易空间和非对易相空间中谐振子模型Wigner函数的表达式.研究结果可以应用到更复杂的物理体系中.
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关键词: 非对易时空相空间分布函数Wigner分布函数    
Abstract: Firstly, the basic introduction to the distribution function in quantum phase space and the basic properties of noncommutative space and noncommutative phase space were briefly introduced. Then the specific forms of the quantum phase space distribution functions in noncommutative space were also discussed; The specific forms of expression of the static Schrdinger equation and the energy eigenvalue equation of Wigner function were introduced in commutative space and noncommutative phase space; The evolution rule of the forms in the three dimension spaces had been clearly proposed by comparison. Finally, the Wigner distribution functions of the harmonic oscillator in three dimensional noncommutative space were given explicitly. The result of the study can be applied to more complex physical systems.
出版日期: 2016-03-31
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王兴忠
李 康

引用本文:

王兴忠,李 康. 非对易空间中的三维谐振子Wigner函数[J]. 浙江大学学报(理学版), 2016, 43(1): 75-78.

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https://www.zjujournals.com/sci/CN/Y2016/V43/I1/75

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