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[null,"1.","Record Nr.",null,"UNINA9910822597303321"]
[null,null,"Titolo",null,"Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society"]
[{"$nulls":4},"[Madrid] : , : Instituto de Matematicas y sus Aplicaciones, , [2012]"]
[{"$nulls":4},"©2012"]
[null,null,"ISBN",null,"0-8218-8535-9"]
[null,null,"Descrizione fisica",null,"1 online resource (226 p.)"]
[null,null,"Collana",null,"Contemporary mathematics, ; 563 , 0271-4132"]
[null,null,"Classificazione",null,"12H0533E3081Q6081Q8082B2333E99"]
[null,null,"Disciplina",null,"512/.56"]
[null,null,"Soggetti",null,"Differential algebra"]
[{"$nulls":4},"Darboux transformations"]
[{"$nulls":4},"Quantum theory - Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Preface --  Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials --  1. Introduction --  2. Background --  3. Integrability of equation (1) by Picard-Vessiot --  4. Spectral/quadrature duality. An integration procedure --  5. The Î?-functons --  6. Integration as a linearly exponential Î?-extension --  7. Integrability and differential closedness --  8. Definition of  through Liouvillian extension --  9. Non-finite-gap integrable counterexamples --  10. Concluding remarks --  References --  Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty --  1. Introduction --  2. A brief outline of supersymmetric quantum mechanics --  3. EOP's associated with broken supersymmetry --  4. Relation with higher order Darboux transformation --  5. Information-theoretic lengths for the partner potential of linear harmonic oscillator via supersymmetry --  6. Moment of the quantum mechanical states associated with the partner of harmonic oscillator via supersymmetry --  7. Discussion: --  References --  On orthogonal polynomials spanning a non-standard flag --  1. Introduction --  2. Preliminaries --  3. Codimension 1 flags --  4. Higher codimension flags --  Acknowledgements --  References --  On the Supersymmetric Spectra of two Planar Integrable Quantum "]
[{"$nulls":4},"Systems --  1. Introduction --  2.  =2 supersymmetric planar quantum systems --  3. The planar quantum Kepler/Coulomb problem and supersymmetry --  4. The planar quantum Euler/Coulomb problem and supersymmetry --  5. Two center collapse in one center --  6. Further comments --  Acknowledgements --  References --  Solvable rational extension of translationally shape invariant potentials --  Introduction --  1. Solvable rational extensions of the harmonic oscillator --  2. Second category potentials --  3. Conclusion --  Acknowledgments --  References --  The pentagram map: geometry, algebra, integrability --  1. Introduction: The pentagram map --  2. Complete integrability of the pentagram map on the space  _{ } --  3. Relation to the Boussinesq equation --  4. The space  _{ } and 2-frieze patterns --  Acknowledgments --  References --  Jet Bundles, symmetries, Darboux transforms --  Elliptic beta integrals and solvable models of statistical mechanics."]