Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics

This volume represents the 2010 Jairo Charris Seminar in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, which was held at the Universidad Sergio Arboleda in Santa Marta, Colombia. The papers cover the fields of Supersymmetric Quantum Me...

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Hlavní autoři: Acosta Humanez, Primitivo B., Finkel, Federico, Kamran, Niky, Olver, Peter J.
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Providence, R.I Instituto de Matemáticas y sus Aplicaciones 2012
Madrid American Mathematical Society
Vydání:1
Edice:Contemporary mathematics
Témata:
Congresses
Darboux transformations
Differential algebra
Field theory and polynomials > Differential and difference algebra > Differential algebra. msc
Mathematics
Quantum theory
Quantum theory > General mathematical topics and methods in quantum theory > Special quantum systems, such as solvable systems. msc
Quantum theory > General mathematical topics and methods in quantum theory > Supersymmetry and quantum mechanics. msc
Quantum theory > Mathematics
Special functions (33-XX deals with the properties of functions as functions) > Other special functions > None of the above, but in this section. msc
Special functions (33-XX deals with the properties of functions as functions) > Other special functions > Other functions coming from differential, difference and integral equations. msc
Statistical mechanics, structure of matter > Equilibrium statistical mechanics > Exactly solvable models; Bethe ansatz. msc
ISBN:0821875841, 9780821875841
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Popis
Shrnutí:This volume represents the 2010 Jairo Charris Seminar in Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, which was held at the Universidad Sergio Arboleda in Santa Marta, Colombia. The papers cover the fields of Supersymmetric Quantum Mechanics and Quantum Integrable Systems, from an algebraic point of view. Some results presented in this volume correspond to the analysis of Darboux Transformations in higher order as well as some exceptional orthogonal polynomials. The reader will find an interesting Galois approach to study finite gap potentials. This book is published in cooperation with Instituto de Matematicas y sus Aplicaciones (IMA).
Bibliografie:Other editors: Federico Finkel, Niky Kamran, Peter J. Olver
Jairo Charris seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia
Includes bibliographical references
ISBN:0821875841
9780821875841