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Exactly solvable Schrödinger operators (1009.0541v2)
Published 2 Sep 2010 in math-ph, math.MP, and quant-ph
Abstract: 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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