Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics

Li Fubin

Chinese Physics C> 1992, Vol. 16> Issue(S2) : 173-177

Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics

Li Fubin

Department of Mathematics and Mechanics, China University of Mining Technology, Xuzhou, Jiangsu;CCAST(World Laboratory), Beijing, China

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Abstract：
Using new creation-annihilation operators constructed in this work, we are able to determine the eigenvalues and eigenfunctions of the hydrogen by the algebraic method, which is analogous to the well-known method for the harmonic oscillator.

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Li Fubin. Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics[J]. Chinese Physics C, 1992, 16(S2): 173-177.

Li Fubin. Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics[J]. Chinese Physics C, 1992, 16(S2): 173-177. shu

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Received: 1991-06-30

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Supported by the National Natural Science Foundation of China.

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Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics

Li Fubin

Department of Mathematics and Mechanics, China University of Mining Technology, Xuzhou, Jiangsu;CCAST(World Laboratory), Beijing, China

Received Date: 1991-06-30

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: Using new creation-annihilation operators constructed in this work, we are able to determine the eigenvalues and eigenfunctions of the hydrogen by the algebraic method, which is analogous to the well-known method for the harmonic oscillator.