Superintegrability in classical and quantum systems / P. Tempesta ... [and others] editors.

Format:

Book

Conference/Event

Contributor:

Tempesta, P. (Piergiulio), 1972-

Conference Name:

Workshop on Superintegrability in Classical and Quantum Systems (2002 : Montréal, Québec)

Series:

CRM proceedings & lecture notes 1065-8580 ; v. 37.

CRM proceedings & lecture notes, 1065-8580 ; v. 37

Language:

English

Subjects (All):

Hamiltonian systems--Congresses.

Hamiltonian systems.

Differential equations, Partial--Congresses.

Differential equations, Partial.

Manifolds (Mathematics)--Congresses.

Manifolds (Mathematics).

Quantum theory--Congresses.

Quantum theory.

Mathematical physics--Congresses.

Mathematical physics.

Genre:

Conference papers and proceedings.

Physical Description:

x, 347 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2004]

Contents:

Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian / Angel Ballesteros, Francisco J. Herranz, Fabio Musso, Orlando Ragnisco 1

Isochronous Motions Galore: Nonlinearly Coupled Oscillators with Lots of Isochronous Solutions / F. Calogero, J.-P. Francoise 15

Nambu Dynamics, Deformation Quantization, and Superintegrability / Thomas L. Curtright, Cosmas K. Zachos 29

Maximally Superintegrable Systems of Winternitz Type / Cezary Gonera 47

Cubic Integrals of Motion and Quantum Superintegrability / Simon Gravel 53

Superintegrability, Lax Matrices and Separation of Variables / J. Harnad, O. Yermolayeva 65

Maximally Superintegrable Smorodinsky-Winternitz Systems on the N-Dimensional Sphere and Hyperbolic Spaces / Francisco J. Herranz, Angel Ballesteros, Mariano Santander, Teresa Sanz-Gil 75

Invariant Wirtinger Projective Connection and Tau-Functions on Spaces of Branched Coverings / A. Kokotov, D. Korotkin 91

Dyon-Oscillator Duality. Hidden Symmetry of the Yang-Coulomb Monopole / L. G. Mardoyan 99

Supersymmetric Calogero-Moser-Sutherland Models: Superintegrability Structure and Eigenfunctions / Patrick Desrosiers, Luc Lapointe, Pierre Mathieu 109

Complete Sets of Invariants for Classical Systems / Willard Miller, Jr. 125

Higher-Order Symmetry Operators for Schrodinger Equation / A. G. Nikitin 137

Symmetries and Lagrangian Time-Discretizations of Euler Equations / Alexel V. Penskoi 145

Two Exactly-Solvable Problems in One-Dimensional Quantum Mechanics on Circle / L. G. Mardoyan, G. S. Pogosyan, A. N. Sissakian 155

Higher-Order Superintegrability of a Rational Oscillator with Inversely Quadratic Nonlinearities: Euclidean and Non-Euclidean Cases / Manuel F. Ranada, Mariano Santander 161

A Survey of Quasi-Exactly Solvable Systems and Spin Calogero-Sutherland Models / F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez, R. Zhdanov 173

On the Classification of Third-Order Integrals of Motion in Two-Dimensional Quantum Mechanics / Mikhail Sheftel 187

Towards a Classification of Cubic Integrals of Motion / Raymond G. McLenaghan, Roman G. Smirnov, Dennis The 199

Integrable Systems Whose Spectral Curves Are the Graph of a Function / Kanehisa Takasaki 211

On Superintegrable Systems in E[subscript 2]: Algebraic Properties and Symmetry Preserving Discretization / Piergiulio Tempesta 223

Perturbations of Integrable Systems and Dyson-Mehta Integrals / Alexander V. Turbiner 241

Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials / Yoshio Uwano 253

Integrability and Superintegrability without Separability / Josee Berube, Pavel Winternitz 269

Applications of Crack in the Classification of Integrable Systems / Thomas Wolf 283

The Prolate Spheroidal Phenomenon as a Consequence of Bispectrality / F. Alberto Grunbaum, Milen Yakimov 301

On a Trigonometric Analogue of Atiyah-Hitchin Bracket / Oksana Yermolayeva 313

Separation of Variables in Time-Dependent Schrodinger Equations / Alexander Zhalij, Renat Zhdanov 317

New Types of Solvability in PT Symmetric Quantum Theory / Miloslav Znojil 333.

Notes:

Includes bibliographical references.

ISBN:

0821833294

OCLC:

56755846