克莱因-戈登谐振子的魏格纳函数

摘要

Wigner functions (WF) for the Klein-Gordon (KG) oscillators in usual and in non-commutative quantum mechanics was studied. First, the time independent Schr(o)dinger equation on a commutative space was solved, then with the help of Bopp's shift method, the WF for the KG oscillators both on a non-commutative space (NCS) and a non commutative phase space (NCPS) was obtained.%在量子力学和非对易量子力学框架下研究了克莱因-戈登谐振子的魏格纳函数.首先,求解了不含时间薛定谔方程,然后,利用Bopp-平移方法,在非对易空间和非对易相空间中计算了克莱因-戈登谐振子的魏格纳函数.