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Special functions from quantum canonical transformations
- Source :
- Journal of Mathematical Physics. 35:6018-6035
- Publication Year :
- 1994
- Publisher :
- AIP Publishing, 1994.
-
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.<br />Comment: LaTeX, 24 pp., Imperial-TP-93-94-5 (revision: two sections added on the three-body Toda problem and a two-dimensional generalization of the hypergeometric equation)
- Subjects :
- High Energy Physics - Theory
Physics
Pure mathematics
High Energy Physics - Theory (hep-th)
Special functions
Mathematics::Classical Analysis and ODEs
FOS: Physical sciences
Statistical and Nonlinear Physics
Canonical transformation
Special case
Quantum
Mathematical Physics
Hypergeometric distribution
Subjects
Details
- ISSN :
- 10897658 and 00222488
- Volume :
- 35
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Physics
- Accession number :
- edsair.doi.dedup.....2e2a7a770c9fd06626fb066d8fb040e0