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.
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References
Witten, E., Dynamical breaking and supersymmetry,Nucl. Phys., 1981, B188: 513.
Cooper, F., Khare, A., Sukhatme, U., Supersymmetry and quantum mechanics,Phys. Rep., 1985, 215: 267.
Qian, Y. K., Zeng, J. Y., SOn + 1 dynamical symmetry of ann-dimensional hydrogen atom,Science in China, Ser. A, 1993, 36: 595.
Zeng, J. Y.,Quantum Mechanics (in Chinese), Vol. II, Beijing: Science Press, 1993, Chap. 7.
Zeng, J. Y.,Quantum Mechanics (in Chinese), Vol. I, Beijing: Science Press, 1990, 305, 237, 302.
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.
Loudon, R., One-dimensional hydrogen atom,Am. J. Phys., 1959, 27:649.
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.
Morse, P. M., Feshbach, H.,Methods of Theoretical Physics, New York: McGraw Hill, 1995, 786.
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Liu, Y., Zeng, J. Four kinds of raising and lowering operators ofn-dimensional hydrogen atom and isotropic harmonic oscillator. Sci. China Ser. A-Math. 40, 1110–1115 (1997). https://doi.org/10.1007/BF03182371
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DOI: https://doi.org/10.1007/BF03182371