CLASSICAL THETA-FUNCTIONS AND QUANTUM TORI

被引：8

作者：

WEINSTEIN, A ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1994年 / 30卷 / 02期

关键词：

D O I：

10.2977/prims/1195166136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schwartz kernel of the multiplication operation on a quantum torus is shown to be the distributional boundary value of a classical multivariate theta function. The kernel satisfies a Schrodinger equation in which the role of time is played by the deformation parameter hBAR and the role of the hamiltonian by a Poisson structure. At least in some special cases, the kernel can be written as a sum of products of single variable theta functions.

引用

页码：327 / 333

页数：7

共 50 条

[31] Hyperelliptic theta-functions and spectral methods
Frauendiener, J
Klein, C
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 167 (01) : 193 - 218
[32] ON THETA-FUNCTIONS FOR JACOBI-VARIETIES
GUNNING, RC
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1987, 46 : 89 - 98
[33] ON CERTAIN RAMANUJAN MOCK THETA-FUNCTIONS
GUPTA, A
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1993, 103 (03): : 257 - 267
[34] Theta functions on noncommutative tori
Schwarz, A
LETTERS IN MATHEMATICAL PHYSICS, 2001, 58 (01) : 81 - 90
[35] Theta Functions on Noncommutative Tori
Albert Schwarz
Letters in Mathematical Physics, 2001, 58 : 81 - 90
[36] THETA-FUNCTIONS ON THE CLASSICAL BOUNDED SYMMETRICAL DOMAIN OF TYPE-I2,2
MATSUMOTO, K
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1991, 67 (01) : 1 - 5
[37] REDUCTIONS OF THE GENUS-G RIEMANN THETA-FUNCTIONS TO THE LESSER GENUS THETA-FUNCTIONS AND SYMMETRIES OF ALGEBRAIC-CURVES
BABICH, MV
BOBENKO, AI
MATVEEV, VB
DOKLADY AKADEMII NAUK SSSR, 1983, 272 (01): : 13 - 17
[38] THETA-FUNCTIONS AND SYMPLECTIC GROUPS .2.
REITER, H
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1985, 88 (03): : 331 - 336
[39] FUNCTIONAL EQUATIONS AND THETA-FUNCTIONS .1.
BELLMAN, R
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1959, 45 (06) : 853 - 854
[40] AFFINE LIE-ALGEBRAS AND THETA-FUNCTIONS
PETERSON, DH
LECTURE NOTES IN MATHEMATICS, 1982, 933 : 166 - 175

← 1 2 3 4 5 →