A unified approach for exactly solvable potentials in quantum mechanics using shift operators

Abstract

We present a unified approach for solving and classifying exactly solvable potentials. Our unified approach encompasses many well-known exactly solvable potentials. Moreover, the new approach can be used to search systematically for a new class of solvable potentials.

RevTex, 8 pages

Cited by in corpus (4)

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• Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials
• Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes-Cummings Model
• Solving the Jaynes-Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique