CAJ | 학술논문

在坐标非对易和动量非对易的情况下,对非对易相空间中各向同性带电谐振子在电场中的能级进行了研究,通过相空间坐标的平移,得到了三维非对易相空间中各向同性带电谐振子在电场中的能级的表达式.最后,对得到的能级进行了非对易空间和对易极限两种特殊情况的讨论,讨论的结果表明,得到的能级在理论上更具有普遍意义.
재좌표비대역화동량비대역적정황하,대비대역상공간중각향동성대전해진자재전장중적능급진행료연구,통과상공간좌표적평이,득도료삼유비대역상공간중각향동성대전해진자재전장중적능급적표체식.최후,대득도적능급진행료비대역공간화대역겁한량충특수정황적토론,토론적결과표명,득도적능급재이론상경구유보편의의.
The charged isotropic harmonic oscillator in the electric field is studied in the non-commutative phase space which contains both the spatial non-commutativity and momentum non-commutativity. By translating of phase space coordinates, the energy levels of this model in the 3-dimensional non-commutative phase space are obtained. Finally, two specially cases for η=0 and for commutative limit are briefly discussed. It is found that these results reduce to those results of non-commutative space and usually commutative space.