Step Operators for the Quasi-exactly Solvable Systems |
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Authors: | Liyan Liu Liqian Wei |
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Institution: | 1. College of Science, Civil Aviation University of China, Tianjin, 300300, China 2. College of Gemology and Material Technics, Shijiazhuang University of Economics, Shijiazhuang, 050031, China
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Abstract: | In this paper, we investigate the step operators for the quasi-exactly solvable problems. We also discuss the commutation relations between the step operators and the Hamiltonian of the quasi-exactly solvable system. After obtaining the general results, we take the anharmonic oscillators with x 6 anharmonicity in quasi-exactly solvable problems as examples to give the specific forms of step operators. |
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