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.
推导出二维各向同性谐振子径向矩阵元所满足的递推公式。
The recurrence formula for radial martrix elements of two-dimensional isotropic harmonic oscillator are derived.
谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。
The method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field.
用初等方法计算了二维线性谐振子和刚性双原子分子两种情况的能量曲面所包围的相体积。
A simple method is used to calculate the phase volumes enclosed by energy surfaces of 2-dimensional harmonic oscillator and rigid diatomic molecule.
用初等方法计算了二维线性谐振子和刚性双原子分子两种情况的能量曲面所包围的相体积。
A simple method is used to calculate the phase volumes enclosed by energy surfaces of 2-dimensional harmonic oscillator and rigid diatomic molecule.
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