Calogero-Moser- Sutherland Models

Luc Vinet

ISBN 10: 146127043X / ISBN 13: 9781461270430

Verlag: Springer New York, Springer New York Okt 2012, 2012

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 592 pp. Englisch.

Bestandsnummer des Verkäufers 9781461270430

Bibliografische Details

• Titel: Calogero-Moser- Sutherland Models
• Verlag: Springer New York, Springer New York Okt 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 146127043X
• ISBN-13: 9781461270430
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 244B x 170 H x 32 T Millimeter Breite: 244 mm, Höhe: 170 mm, Tiefe: 32 mm
• Gewicht: 1007 Gramm

Über diesen Titel

Inhaltsangabe

The chapters in this book treat one of the few classes of problems involving more than one particle for which the equations of quantum mechanics are exactly solvable. These so-called Calogero-Moser- Sutherland models now play a role in research areas in theoretical physics (from soliton theory to statistical mechanics) and mathematics (from representation theory to complex geometry).

Reseña del editor

In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.