Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates

Details Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates

2001-07-23

arxiv.org/abs/quant-ph/0107115v1

Physics

Quantum Physics

15 pages

Scientific paper

10.1088/0305-4470/34/32/313

Using supersymmetric quantum mechanics we construct the quasi-exactly solvable (QES) potentials with arbitrary two known eigenstates. The QES potential and the wave functions of the two energy levels are expressed by some generating function the properties of which determine the state numbers of these levels. Choosing different generating functions we present a few explicit examples of the QES potentials.

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