非对易空间中Klein-Gordon振子的能级与波函数  

Energy Levels and Wave Functions of Klein-Gordon Oscillators in Non-commutative Space

作　　者：王立[1] 王剑华[2] 马凯[2] 谭建军 

机构地区：[1]咸阳师范学院物理与电子工程学院,陕西咸阳712000 [2]陕西理工学院物理系,陕西汉中723001 [3]南郑县大河坎中学,陕西汉中723100

出　　处：《咸阳师范学院学报》2009年第6期13-16,共4页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(10447005);陕西理工学院教学改革基金项目(XJG0703)

摘　　要：从Moyal-Weyl乘法出发,介绍了Bopp变换和非对易空间的量子力学代数关系,在考虑坐标—坐标非对易性的情况下,讨论了非对易空间中Klein-Gordon振子的波动方程,利用坐标变换,重新定义了产生-消灭算符,并由此给出了Klein-Gordon振子能级的非对易修正及其在粒子数表象和坐标表象中的波函数。This paper provides a study of energy levels and wave functions for Klein-Gordon oscillators in non-commutative space.Beginning with Moyal-Weyl product,we first give an introduction to Bopp’s shift and quantum-mechanical algebra in non-commutative space.Then,considering the coordinate-coordinate non-commutation,we make an analysis of Klein-Gordon Oscillator’s wave function.Finally,with coordinate’s transformation,we redefine the production and elimination of operators.As a result,we give not only energy levels＇ non-commutative amendments to the Klein-Gordon oscillator but also its particle image and its wave function in coordinate representation.

关 键 词：非对易空间 Moyal-Weyl乘法 Klein-Gordon振子 波函数 

分 类 号：O413.1[理学—理论物理]