Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / [electronic resource] Primitivo B. Acosta-Humanez ... [et al.], editors.
Contributor(s): Acosta Humanez, Primitivo B.
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BookSeries: Contemporary mathematics, v. 563.Publisher: 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 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 | 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 sectionAdditional physical formats: Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics /DDC classification: 512/.56 Other classification: 12H05 | 33E30 | 81Q60 | 81Q80 | 82B23 | 33E99 Online resources: Contents | Contents Includes bibliographical references.
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 G�omez-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 B�erard -- 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 Schr�odinger equation / Axel Schulze-Halberg -- Elliptic beta integrals and solvable models of statistical mechanics / V. P. Spiridonov --
http://dx.doi.org/10.1090/conm/563/11162
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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