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Step Operators for the Quasi-exactly Solvable Systems
Authors:Liyan Liu  Liqian Wei
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
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.
Keywords:
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