Analytic expression for exact-ground-state energy based on an operator method for a class of anharmonic potentials
Kwek, L.C. Liu, Y. Oh, C.H. Wang, X.
Liu, Y.
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Abstract
The full spectrum of a physical system is extracted with arbitrarily potentials using the shift operator method. The method is applied to a one-dimensional oscillator with anharmonic potentials. The supersymmetric quantum mechanics (SQM) is analyzed as a special case of a nonlinear algebraic operator method. Analytical results checked the accuracy of the state-dependent diagonalization.
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Physical Review A - Atomic, Molecular, and Optical Physics
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Date
2000-11
DOI
10.1103/PhysRevA.62.052107
Type
Article