讨论了二、三维各向同性谐振子的升、降算子的一般形式及其性质。

The raising and lowering operators of two and three dimensional isotropic harmonic oscillators were systemalically Constructed and their properties were discussed.

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推导出了三维各向同性谐振子在均匀磁场中的能级表达式并讨论了其最低能级及其简并度的变化。

The formula of energy levels of two dimensional harmonic oscillator in the uniform magnetic field is derived.

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讨论均匀磁场中三维各向同性带电谐振子的双波函数描述，得到量子和经典极限条件下的结果。

Double wave function quantum theory is applied to describe the motion of three dimension isotropy charged harmonic oscillator in a uniform magnetic field.

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