Title Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / Primitivo B. Acosta-Humánez [and others], editors

Published Providence, R.I. : American Mathematical Society ; [Bogotá?] : Instituto de Matemáticas y sus Aplicaciones, ©2012

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Description 1 online resource (ix, 211 pages) : illustrations (some color) Series Contemporary mathematics ; 563 Contemporary mathematics (American Mathematical Society) ; v. 563. Contents Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials / Yurii V. Brezhnev -- http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/'>http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11162 Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty / D. Dutta and P. Roy -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11163 On orthogonal polynomials spanning a non-standard flag / David Gómez-Ullate, Niky Kamran and Robert Milson -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11164 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 -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11165 Solvable rational extension of translationally shape invariant potentials / Yves Grandati and Alain Bérard -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11166 The pentagram map: geometry, algebra, integrability / Valentin Ovsienko -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11167 Jet Bundles, symmetries, Darboux transforms / Enrique G. Reyes -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11168 Explicit higher-dimensional Darboux transformations for the time-dependent Schrödinger equation / Axel Schulze-Halberg -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11169 Elliptic beta integrals and solvable models of statistical mechanics / V. P. Spiridonov -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11170 Bibliography Includes bibliographical references Notes Online resource; title from PDF title page (American Mathematical Society, viewed Feb. 17, 2012) Subject Differential algebra. Darboux transformations. Quantum theory -- Mathematics Darboux transformations Differential algebra 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. Quantum theory -- General mathematical topics and methods in quantum theory -- Special quantum systems, such as solvable systems. Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatz. Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- None of the above, but in this section. Form Electronic book Author Acosta Humanez, Primitivo B. LC no. 2011050423 ISBN 9780821885352 0821885359 9780821885345 0821885340

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