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

LI Fu-Bin

Chinese Physics C> 1992, Vol. 16> Issue(6) : 505-509

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

LI Fu-Bin ^,

The Mathematical-Mechanical Department,China University of Mining Technology.Xuzhou 221008

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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 alien by algebraic method,which is analogous to the well-known procedure for is Eudying the harmonic oscillator.

References

[1]	P. A. Deift, Duke Math.J., 45(1978), 267[2] L. E. Gendenshtein,JETP Lett.,38(1983), 356[3] L. Infeld and T.E Hull,Rev.Mod. Phys., 23(1951), 21

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LI Fu-Bin. Construction of the Creation-Annihilation Operators for the Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics[J]. Chinese Physics C, 1992, 16(6): 505-509.

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Received: 1900-01-01
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

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

LI Fu-Bin ^,

Corresponding author: LI Fu-Bin,

The Mathematical-Mechanical Department,China University of Mining Technology.Xuzhou 221008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-06-05

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