轴对称变形谐振子势中的单粒子能谱

Energy Levels of Single Particle in 3-dimensional and Symmetrical Deformed Harmonic Oscillator Potential Energy

对原子核的变形进行了描述 ,求出了三维谐振子的能量本征值 ,并用形变参数ε2 和γ来描述一个椭球形原子核 。

By first working out the energy eigenvalue of the 3-dimensional harmonic oscillator and then describing an oval sphere with ε 2 and γ, the two parameters of deformation, this article obtains the harmonic oscillator frequency, and the average frequency from the conservation law of volume , and then works out the relationship between the harmonic oscillator energy and parameters of deformation, and finally draws a map to describe it.