Ladder operators for subtle hidden shape invariant potentials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, based on the talk given at International Conference Progress in Supersymmetric Quantum Mechanics (PSQM03), Valladolid

Scientific paper

10.1088/0305-4470/37/43/003

Ladder operators can be constructed for all potentials that present the
integrability condition known as shape invariance, satisfied by most of the
exactly solvable potentials. Using the superalgebra of supersymmetric quantum
mechanics we construct the ladder operators for two exactly solvable potentials
that present a subtle hidden shape invariance.

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