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Science in China Series A: Mathematics

, Volume 40, Issue 10, pp 1110–1115 | Cite as

Four kinds of raising and lowering operators ofn-dimensional hydrogen atom and isotropic harmonic oscillator

  • Yufeng Liu
  • Jinyan Zeng
Science in China (series A)

Abstract

The factorization of the radial Schrödinger equation ofn-dimensional (n ≥ 2) hydrogen atoms and isotropic harmonic oscillators was investigated and four kinds of raising and lowering operators were derived. The relation betweenn-dimensional (n ≥ 2) and one-dimensional hydrogen atoms and harmonic oscillators was discussed.

Keywords

n-dimensional hydrogen atom and isotropic harmonic oscillator factorization four kinds of raising and lowering operators 

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References

  1. 1.
    Witten, E., Dynamical breaking and supersymmetry,Nucl. Phys., 1981, B188: 513.CrossRefGoogle Scholar
  2. 2.
    Cooper, F., Khare, A., Sukhatme, U., Supersymmetry and quantum mechanics,Phys. Rep., 1985, 215: 267.MathSciNetGoogle Scholar
  3. 3.
    Qian, Y. K., Zeng, J. Y., SOn + 1 dynamical symmetry of ann-dimensional hydrogen atom,Science in China, Ser. A, 1993, 36: 595.MathSciNetGoogle Scholar
  4. 4.
    Zeng, J. Y.,Quantum Mechanics (in Chinese), Vol. II, Beijing: Science Press, 1993, Chap. 7.Google Scholar
  5. 5.
    Zeng, J. Y.,Quantum Mechanics (in Chinese), Vol. I, Beijing: Science Press, 1990, 305, 237, 302.Google Scholar
  6. 6.
    Liu, Y. F., Zeng, J. Y., Four kinds of raising and lowering operators of 3D and 2D hydrogen atoms.Acta Physica Sinica, 1997, 46: 428.MathSciNetGoogle Scholar
  7. 7.
    Loudon, R., One-dimensional hydrogen atom,Am. J. Phys., 1959, 27:649.CrossRefGoogle Scholar
  8. 8.
    Liu, Y. F., Zeng, J. Y., Four kinds of raising and lowering operators of 3D isotropic harmonic oscillator,Acta Physica Sinica (in Chinese), 1997, 46: 417.MathSciNetGoogle Scholar
  9. 9.
    Morse, P. M., Feshbach, H.,Methods of Theoretical Physics, New York: McGraw Hill, 1995, 786.Google Scholar

Copyright information

© Science in China Press 1997

Authors and Affiliations

  • Yufeng Liu
    • 1
  • Jinyan Zeng
    • 1
  1. 1.Department of PhysicsPeking UniversityBeijingChina

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