Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / [electronic resource]
Primitivo B. Acosta-Humanez ... [et al.], editors.
- Providence, R.I. : [Madrid] : American Mathematical Society ; Instituto de Matematicas y sus Aplicaciones, c2012.
- 1 online resource (ix, 211 p. : ill.)
- Contemporary mathematics, v. 563 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Spectral/quadrature 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 Schr�odinger equation / Elliptic beta integrals and solvable models of statistical mechanics / Yurii V. Brezhnev -- D. Dutta and P. Roy -- David G�omez-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 B�erard -- Valentin Ovsienko -- Enrique G. Reyes -- Axel Schulze-Halberg -- V. P. Spiridonov -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11162 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11163 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11164 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11165 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11166 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11167 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11168 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11169 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11170
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821885352 (online)
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 section.
QA247.4 / .A45 2012
512/.56
Includes bibliographical references.
Spectral/quadrature 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 Schr�odinger equation / Elliptic beta integrals and solvable models of statistical mechanics / Yurii V. Brezhnev -- D. Dutta and P. Roy -- David G�omez-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 B�erard -- Valentin Ovsienko -- Enrique G. Reyes -- Axel Schulze-Halberg -- V. P. Spiridonov -- http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11162 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11163 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11164 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11165 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11166 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11167 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11168 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11169 http://www.ams.org/conm/563/ http://dx.doi.org/10.1090/conm/563/11170
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821885352 (online)
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 section.
QA247.4 / .A45 2012
512/.56