Hypergeometric Functions Related to Schur Q-Polynomials and the BKP Equation |
| |
| Authors: | Orlov A Yu |
| |
| Institution: | (1) Nonlinear Wave Processes Laboratory, Oceanology Institute, 36 Nakhimovskii prospekt, Moscow, 117851, Russia |
| |
| Abstract: | We introduce hypergeometric functions related to projective Schur functions Q
 and describe their properties. Linear equations, integral representations, and Pfaffian representations are obtained. These hypergeometric functions are vacuum expectations of free fermion fields and are therefore tau functions of the so-called BKP hierarchy of integrable equations. |
| |
| Keywords: | projective Schur functions hypergeometric functions soliton theory |
| 本文献已被 SpringerLink 等数据库收录！ |
|
