A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials

Details A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials

2003-02-15

arxiv.org/abs/math-ph/0302040v1

J.Phys. A36 (2003) L161-L168

Physics

Mathematical Physics

LaTeX2e, 8 pages, To appear in J. Phys. A:Mathematical and general(letters)

Scientific paper

10.1088/0305-4470/36/11/101

By exploiting the hidden algebraic structure of the Schrodinger Hamiltonian,
namely the sl(2), we propose a unified approach of generating both exactly
solvable and quasi-exactly solvable quantum potentials. We obtain, in this way,
two new classes of quasi-exactly solvable systems one of which is of periodic
type while the other hyperbolic.

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