Special functions from quantum canonical transformations

Details Special functions from quantum canonical transformations Special functions from quantum canonical transformations

1993-10-26

arxiv.org/abs/hep-th/9310168v2

J.Math.Phys. 35 (1994) 6018-6035

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 24 pp., Imperial-TP-93-94-5 (revision: two sections added on the three-body Toda problem and a two-dimensional generali

Scientific paper

10.1063/1.530725

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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