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
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
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.
WU Ying; LUO Ya-Jun;YANG Xiao-Xue. Novel Formalism for Energy Eigenvalue Problem with Hamiltonian Expressible as Function of Angular Momentum[J]. 中国物理快报, 2003, 20(2): 186-188.
WU Ying, LUO Ya-Jun, YANG Xiao-Xue. Novel Formalism for Energy Eigenvalue Problem with Hamiltonian Expressible as Function of Angular Momentum. Chin. Phys. Lett., 2003, 20(2): 186-188.
2003, Vol. 20 
