On one-dimensional Schroedinger problems allowing polynomial solutions

Details On one-dimensional Schroedinger problems allowing polynomial solutions On one-dimensional Schroedinger problems allowing polynomial solutions

2000-03-30

arxiv.org/abs/nlin/0003064v1

J. Phys. A: Math. Gen. 33 (2000) 1233-1245

Nonlinear Sciences

Chaotic Dynamics

17 pages

Scientific paper

10.1088/0305-4470/33/6/310

We discuss the explicit construction of the Schroedinger equations admitting
a representation through some family of general polynomials. Almost all
solvable quantum potentials are shown to be generated by this approach.
Some generalization has also been performed in higher-dimensional problems.

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