Applicability of the Friedberg-Lee-Zhao Method |
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Authors: | ZHAO Gong-Bo DING Yi-Bing LI Xue-Qian QIAN Ke WANG Guo-Li Zhaorigetu |
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Institution: | 1. Department of Physics, Nankai University, Tianjin, 300071 China
;2. Department of Physics, Graduate School, the Chinese Academy of Sciences, Beijing 100039, China
;3. Department of Physics,
Chifeng Normal College, Inner-Mongolia, Chifeng 024000, China |
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Abstract: | Friedberg, Lee and Zhao (FLZ) proposed a method for effectively evaluating the eigenenergies and eigen wavefunctions of quantum systems. In this work, we study several special cases to
investigate applicability of the method. Concretely, we calculate
the ground-state eigenenergy of the Hellmann potential as well as the Cornell potential, and also evaluate the energies of the systems where linear term is added to the Coulomb as a
perturbation. The results obtained in this method have a surprising agreement with the traditional method or the numerical results. Since the results in this method have obvious analyticity
compared to that in other methods, and because of the simplicity for
calculations this method can be applied to solving the Schrödinger equation and provides us a better understanding of the physical essence of the concerned
systems. But meanwhile applications of the FLZ method are restricted at present, especially for certain potential forms, but due to
its obvious advantages, it should be further developed. |
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Keywords: | applicability FLZ method |
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