| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480116703321 |
|
|
Titolo |
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 |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society |
|
[Madrid] : , : Instituto de Matematicas y sus Aplicaciones, , [2012] |
|
©2012 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (226 p.) |
|
|
|
|
|
|
Collana |
|
Contemporary mathematics ; ; volume 563 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential algebra |
Darboux transformations |
Quantum theory - Mathematics |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""Preface""; ""Spectral/quadrature duality: Picardâ€?Vessiot theory and finite-gap potentials""; ""1. Introduction""; ""2. Background""; ""3. Integrability of equation (1) by Picardâ€?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 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"" |
|
|
|
|
|
| |