Open Access
October 2002 A remark on systems of differential equations sssociated with representations of $\SPE(\r)$ and their perturbations
Alberto Parmeggiani, Masato Wakayama
Kodai Math. J. 25(3): 254-277 (October 2002). DOI: 10.2996/kmj/1071674459

Abstract

We give here a number of examples of non-commutative harmonic oscillators ``in disguise'' that can be exactly solved by using the tensor product of the oscillator representation and the finite dimensional representation of $\SPE(\r)$, and its perturbations.

Citation

Download Citation

Alberto Parmeggiani. Masato Wakayama. "A remark on systems of differential equations sssociated with representations of $\SPE(\r)$ and their perturbations." Kodai Math. J. 25 (3) 254 - 277, October 2002. https://doi.org/10.2996/kmj/1071674459

Information

Published: October 2002
First available in Project Euclid: 17 December 2003

zbMATH: 1022.22009
MathSciNet: MR2004G:22013
Digital Object Identifier: 10.2996/kmj/1071674459

Rights: Copyright © 2002 Tokyo Institute of Technology, Department of Mathematics

Vol.25 • No. 3 • October 2002
Back to Top