Exactly solvable Schrödinger operators

Physics – Mathematical Physics

Scientific paper

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20 pages, v2

Scientific paper

10.1007/s00023-011-0077-4

We systematically describe and classify 1-dimensional Schr\"odinger equations
that can be solved in terms of hypergeometric type functions. Beside the
well-known families, we explicitly describe 2 new classes of exactly solvable
Schr\"odinger equations that can be reduced to the Hermite equation.

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