【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。更多还原

【Abstract】 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.更多还原