Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction - Couverture souple

Parmeggiani, Alberto

 
9783642119217: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
Couverture souple
ISBN 10 : 3642119212 ISBN 13 : 9783642119217
Editeur : Springer, 2010

Synopsis

This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003–2007) “Development of Dynamical Mathematics with High Fu- tionality” (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program “DMHF”, Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? R×R,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This volume describes the spectral theory of the Weyl-quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. It uses powerful and flexible techniques, gathering results scattered throughout the literature.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
3642119212
ISBN 13 
9783642119217
Reliure
Broché
Nombre de pages
272
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783642119231: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Edition présentée

ISBN 10 :  3642119239 ISBN 13 :  9783642119231
Editeur : Springer, 2011
Couverture souple