Physics – Mathematical Physics
Scientific paper
2010-09-02
Annales Henri Poincar{'e}, vol. 12, no. 2, 397-418, 2011
Physics
Mathematical Physics
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.
Derezinski Jan
Wrochna Michał
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