A special value of the spectral zeta function of the non-commutative harmonic osciallators

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The non-commutative harmonic oscillator is a $2\times2$-system of harmonic oscillators with a non-trivial correlation. We write down explicitly the special value at $s=2$ of the spectral zeta function of the non-commutative harmonic oscillator in terms of the complete elliptic integral of the first kind, which is a special case of a hypergeometric function.
5 pages, no figures

Keywords

Representation Theory, Number Theory, 11M36; 33C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75690

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507111
 http://arxiv.org/abs/math/0507111

Collections

arXiv