Refined Factorizations of Solvable Potentials

Details Refined Factorizations of Solvable Potentials Refined Factorizations of Solvable Potentials

1999-10-08

arxiv.org/abs/quant-ph/9910038v1

J. Phys. A: Math. Gen. 33(2000) 7207-7216

Physics

Quantum Physics

11 pages, LaTeX file, no figures

Scientific paper

10.1088/0305-4470/33/40/315

A generalization of the factorization technique is shown to be a powerful
algebraic tool to discover further properties of a class of integrable systems
in Quantum Mechanics. The method is applied in the study of radial oscillator,
Morse and Coulomb potentials to obtain a wide set of raising and lowering
operators, and to show clearly the connection that link these systems.

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