Two Calculating Methods for the Ground Energy and Wave Function of the Three-dimension Isotropic Oscillator

Guoyue Liu · Mianyang Shifan Xueyuan xuebao · 2007

It's significant in theory and application to study the motion of oscillators.Among them the three-dimension isotropic oscillator is an important and representative model in quantum mechanics.So,it is necessary to study its ground energy and wave function.Two methods are adopted in this paper.One is the method of separation of variables in rectangular coordinates and the other is the method of adopting trial solution in spherical coordinates.And the results are discussed.

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