Solvable potentials, non-linear algebras, and associated coherent states

Details Solvable potentials, non-linear algebras, and associated coherent states Solvable potentials, non-linear algebras, and associated coherent states

1998-06-24

arxiv.org/abs/quant-ph/9806080v1

AIPConf.Proc.453:209-218,1998

Physics

Quantum Physics

10 pages, 1 figure, uses AIP macros (included)

Scientific paper

10.1063/1.57097

Using the Darboux method and its relation with supersymmetric quantum
mechanics we construct all SUSY partners of the harmonic oscillator. With the
help of the SUSY transformation we introduce ladder operators for these partner
Hamiltonians and shown that they close a quadratic algebra. The associated
coherent states are constructed and discussed in some detail.

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