克莱因-戈登谐振子的魏格纳函数(英文)

Wigner function for the Klein-Gordon oscillator

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.

Wigner functions（WF） for the Klein-Gordon（KG） oscillators in usual and in non-commutative quantum mechanics was studied.First,the time independent Schr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.