Exactly solvable Schr\"odinger operators
classification
🧮 math-ph
math.MPquant-ph
keywords
odingerschrdescribeequationsexactlysolvablebesideclasses
read the original 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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