CAJ | 학술논문

在极坐标系中研究了非对易相空间中的Dirac oscillator问题.研究显示:系统的波函数可以表示为合流超几何函数,而非对易相空间Dirac oscillator的量子行为类似于朗道问题.最后,对η=0和对易极限两种特殊情况进行了简单讨论.
재겁좌표계중연구료비대역상공간중적Dirac oscillator문제.연구현시:계통적파함수가이표시위합류초궤하함수,이비대역상공간Dirac oscillator적양자행위유사우랑도문제.최후,대η=0화대역겁한량충특수정황진행료간단토론.
In this letter the Dirac oscillator is studied in the noncommutative phase space which contains both the spatial noncommutativity and momentum noncommutativity. The analytical wave functions and corresponding energy levels are obtained in polar coordinates. It is shown that the analytical wave functions of the Dirac oscillator can be expressed in terms of confluent hypergeometric function in the non-commutative phase space and the Dirac oscillator problem in the noncommutative phase space has a similar behavior to the Landau problem. Finally, two special cases for η=0 and for commutative limit are briefly discussed.