Energy splitting of the charged isotropic harmonic oscillator in noncommutative phase space(非对易相空间中带电谐振子的能级分裂)
非对易空间效应是出现在弦的尺度下的一种物理效应,由于这种效应的出现,引起了量子力学中的物理量的一系列变化.本文介绍了非对易相空间量子力学的代数关系,并且把Moyal-Weyl乘法在非对易相空间中通过一个广义Bopp's变换转变成普通的乘法.文章的工作重点是把单粒子量子力学的产生和消灭算符推广到非对易空间中服从玻色-爱因斯坦统计的态矢量空间的玻色子系统,在非微扰的情况下,重新定义产生和消灭算符.在所考虑的相空间变量的对易关系中包含了坐标-坐标和动量-动量两个方面的非对易性;讨论了非对易相空间中服从玻色-爱因斯坦统计的粒子的连续性条件;在所给出的相空间变量的对易关系中包含了空间-空间和动...
Main Authors: | WANGJian-hua(王剑华), LIKang(李康), LIUPeng(刘鹏), LIUZi-ye(刘子叶) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2007-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/zjup/1008-9497.2007.34.3.294-298 |
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