Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics

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Title

Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / [electronic resource] Primitivo B. Acosta-Humanez ... [et al.], editors.

ISBN

9780821885352 (online)

Published

Providence, R.I. : American Mathematical Society ; [Madrid] : Instituto de Matematicas y sus Aplicaciones, c2012.

Physical Description

1 online resource (ix, 211 p.) : ill.

Local Notes

Access is available to the Yale community.

Notes

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Access and use

Access restricted by licensing agreement.

Variant and related titles

American mathematical society.

Contemporary Mathematics.

Other formats

Print version: Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics /

Format

Books / Online

Language

English

Added to Catalog

February 11, 2020

Series

Contemporary mathematics, v. 563

Bibliography

Includes bibliographical references.

Contents

Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials / Yurii V. Brezhnev

Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty / D. Dutta and P. Roy

On orthogonal polynomials spanning a non-standard flag / David Gómez-Ullate, Niky Kamran and Robert Milson

On the Supersymmetric Spectra of two Planar Integrable Quantum Systems / M. A. Gonzalez Leon, J. Mateos Guilarte, M. J. Senosiain and M. de la Torre Mayado

Solvable rational extension of translationally shape invariant potentials / Yves Grandati and Alain Bérard

The pentagram map: geometry, algebra, integrability / Valentin Ovsienko

Jet Bundles, symmetries, Darboux transforms / Enrique G. Reyes

Explicit higher-dimensional Darboux transformations for the time-dependent Schrödinger equation / Axel Schulze-Halberg

Elliptic beta integrals and solvable models of statistical mechanics / V. P. Spiridonov

Subjects

Differential algebra.

Darboux transformations.

Quantum theory > Mathematics.

Field theory and polynomials -- Differential and difference algebra -- Differential algebra.

Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Other functions coming from differential, difference and integral equations.

Quantum theory -- General mathematical topics and methods in quantum theory -- Supersymmetry and quantum mechanics.