Quasi-Exactly Solvable Potentials with Three Known Eigenstates

Details Quasi-Exactly Solvable Potentials with Three Known Eigenstates Quasi-Exactly Solvable Potentials with Three Known Eigenstates

1998-07-09

arxiv.org/abs/quant-ph/9807025v2

J.Phys.A32:2157-2169,1999

Physics

Quantum Physics

15 pages, LaTeX, no figures, revised version

Scientific paper

10.1088/0305-4470/32/11/010

We propose a new SUSY method for construction of the quasi-exactly solvable (QES) potentials with three known eigenstates. New QES potentials and corresponding energy levels and wave functions of the ground state and two lowest excited state are obtained. The proposed scheme allows also to construct families of exactly solvable non-singular potentials which are SUSY partners of the well-known ones.

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