Novel Formalism for Energy Eigenvalue Problem with Hamiltonian Expressible as Function of  Angular Momentum

Chin. Phys. Lett.

2003, Vol. 20

Issue (2): 186-188 DOI:

Original Articles

Novel Formalism for Energy Eigenvalue Problem with Hamiltonian Expressible as Function of Angular Momentum

WU Ying^1,2; LUO Ya-Jun;YANG Xiao-Xue¹

¹National Key Laboratory for Laser Technique and Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 ²Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071

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WU Ying, LUO Ya-Jun, YANG Xiao-Xue 2003 Chin. Phys. Lett. 20 186-188

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Abstract We present a novel formalism for energy eigenvalue problems when the corresponding Hamiltonians can be expressed as a function of an angular momentum. The problems are turned into finding operator polynomials by solving a c-number differential equation. Simple and efficient computer-aided analytical and numerical methods may be developed based on the formalism.

Keywords: 03.75.Fi 42.65.-k 42.50.Ar

Published: 01 February 2003

PACS:	03.75.Fi
	42.65.-k	(Nonlinear optics)
	42.50.Ar

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I2/0186

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