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Novel Formalism for Energy Eigenvalue Problem with Hamiltonian Expressible as Function of Angular Momentum |
WU Ying1,2; 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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Cite this article: |
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.
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Keywords:
03.75.Fi
42.65.-k
42.50.Ar
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Published: 01 February 2003
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