Special functions from quantum canonical transformations
高能物理 - 理论
2009-10-22 v2
摘要
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.
引用
@article{arxiv.hep-th/9310168,
title = {Special functions from quantum canonical transformations},
author = {Arlen Anderson},
journal= {arXiv preprint arXiv:hep-th/9310168},
year = {2009}
}
备注
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)