主要内容如下:1、非对易空间(?)中二维谐振子的能谱及波函数的研究。
The contents of this thesis are the following: 1 the spectra and the wave functions of 2d harmonic oscillator in non-commutative space.
利用周期轨道理论,我们计算了在不同情况下,一个粒子在二维谐振子势中存在和不存在磁通量时的量子能级密度。
Using the periodic orbit theory, we computed the quantum level density of a particle in the two-dimensional harmonic oscillator potential with and without the magnetic flux line for different cases.
此外,作者还给出了二维各向同性谐振子的附加运动常数的正确表达式。
Besides, author derived a correct expression of additional motional constant for the two dimensional isotropic harmonic oscillator.
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