Exact Solutions of Non-spherical Harmonic Oscillator Potential

Chen Changyuan; Liu Youwen

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(9) : 865-872

Exact Solutions of Non-spherical Harmonic Oscillator Potential

Chen Changyuan ^, ,
Liu Youwen

Department of Physics, Yancheng Teachers' College, Yancheng 224002

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Abstract：
In this paper, the Schrodinger equation with a non-spherical harmonic oscillator potential in three dimensions V（r）=1/2r²+A/2r² is solved. The exact energy equation and the normalized wave function are obtained. The calculation formulas andrecurrence formulas of matrix elements and mean values for any integer power operator r^s are presented.

References

[1]

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Chen Changyuan and Liu Youwen. Exact Solutions of Non-spherical Harmonic Oscillator Potential[J]. Chinese Physics C, 1999, 23(9): 865-872.

Chen Changyuan and Liu Youwen. Exact Solutions of Non-spherical Harmonic Oscillator Potential[J]. Chinese Physics C, 1999, 23(9): 865-872. shu

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Received: 1998-06-16
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solutions of Non-spherical Harmonic Oscillator Potential

Chen Changyuan ^,
Liu Youwen

Corresponding author: Chen Changyuan,

Department of Physics, Yancheng Teachers' College, Yancheng 224002

Received Date: 1998-06-16
Accepted Date: 1900-01-01
Available Online: 1999-09-05

Abstract: In this paper, the Schrodinger equation with a non-spherical harmonic oscillator potential in three dimensions V（r）=1/2r²+A/2r² is solved. The exact energy equation and the normalized wave function are obtained. The calculation formulas andrecurrence formulas of matrix elements and mean values for any integer power operator r^s are presented.