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Special functions from quantum canonical transformations

Arlen Anderson
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Abstract

Quantum canonical transformations are used to derive the integral representations and Kummer solutions of the confluent hypergeometric and hypergeometric equations. Integral representations of the solutions of the non-periodic three body Toda equation are also found. The derivation of these representations motivate the form of a two-dimensional generalized hypergeometric equation which contains the non-periodic Toda equation as a special case and whose solutions may be obtained by quantum canonical transformation.

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Arlen Anderson. 1994-06-01. Special functions from quantum canonical transformations. https://doi.org/10.1063/1.530725

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