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

Contributor(s): Acosta Humanez Primitivo BMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 563Publication details: Providence, R.I. :;[Madrid] : American Mathematical Society ;;Instituto de Matematicas y sus Aplicaciones, c2012Description: 1 online resource (ix, 211 p. : ill.)ISBN: 9780821885352 (online)Subject(s): Differential algebraOnline resources: Click here to access online
Contents:
Spectralquadrature duality: Picard-Vessiot theory and finite-gap potentials ; Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty ; On orthogonal polynomials spanning a non-standard flag ; On the Supersymmetric Spectra of two Planar Integrable Quantum Systems ; Solvable rational extension of translationally shape invariant potentials ; The pentagram map: geometry, algebra, integrability ; Jet Bundles, symmetries, Darboux transforms ; Explicit higher-dimensional Darboux transformations for the time-dependent Schrodinger equation ; Elliptic beta integrals and solvable models of statistical mechanics Yurii V. Brezhnev ; D. Dutta and P. Roy ; David Gomez-Ullate, Niky Kamran and Robert Milson ; M. A. Gonzalez Leon, J. Mateos Guilarte, M. J. Senosiain and M. de la Torre Mayado ; Yves Grandati and Alain Berard ; Valentin Ovsienko ; Enrique G. Reyes ; Axel Schulze-Halberg ; V. P. Spiridonov
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Includes bibliographical references.

Spectralquadrature duality: Picard-Vessiot theory and finite-gap potentials ; Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty ; On orthogonal polynomials spanning a non-standard flag ; On the Supersymmetric Spectra of two Planar Integrable Quantum Systems ; Solvable rational extension of translationally shape invariant potentials ; The pentagram map: geometry, algebra, integrability ; Jet Bundles, symmetries, Darboux transforms ; Explicit higher-dimensional Darboux transformations for the time-dependent Schrodinger equation ; Elliptic beta integrals and solvable models of statistical mechanics Yurii V. Brezhnev ; D. Dutta and P. Roy ; David Gomez-Ullate, Niky Kamran and Robert Milson ; M. A. Gonzalez Leon, J. Mateos Guilarte, M. J. Senosiain and M. de la Torre Mayado ; Yves Grandati and Alain Berard ; Valentin Ovsienko ; Enrique G. Reyes ; Axel Schulze-Halberg ; V. P. Spiridonov

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