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);  .
<br/><br/>Includes bibliographical references. 
<br/><br/> 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 
<br/><br/> Access is restricted to licensed institutions 
<br/><br/><br/>Electronic reproduction. <br/>Providence, Rhode Island : <br/>American Mathematical Society. <br/>2012 
<br/><br/><br/>Mode of access : World Wide Web 
<br/><br/><label>ISBN: </label>9780821885352 (online) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Differential algebra.<br/>Darboux transformations.<br/>Quantum theory--Mathematics.<br/>Field theory and polynomials -- Differential and difference algebra -- Differential algebra.<br/>Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Other functions coming from differential, difference and integral equations.<br/>Quantum theory -- General mathematical topics and methods in quantum theory -- Supersymmetry and quantum mechanics.<br/>Quantum theory -- General mathematical topics and methods in quantum theory -- Special quantum systems, such as solvable systems.<br/>Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatz.<br/>Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- None of the above, but in this section.
<br/><br/><label>LC Class. No.: </label>QA247.4  / .A45 2012 
<br/><br/><label>Dewey Class. No.: </label>512/.56