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Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics
 
Edited by: Primitivo B. Acosta-Humánez Universidad del Norte, Barranquilla, Colombia
Federico Finkel Universidad Complutense de Madrid, Madrid, Spain
Niky Kamran McGill University, Montreal, Quebec, Canada
Peter J. Olver University of Minnesota, Minneapolis, MN
Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics
Softcover ISBN:  978-0-8218-7584-1
Product Code:  CONM/563
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8535-2
Product Code:  CONM/563.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-7584-1
eBook: ISBN:  978-0-8218-8535-2
Product Code:  CONM/563.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics
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Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics
Edited by: Primitivo B. Acosta-Humánez Universidad del Norte, Barranquilla, Colombia
Federico Finkel Universidad Complutense de Madrid, Madrid, Spain
Niky Kamran McGill University, Montreal, Quebec, Canada
Peter J. Olver University of Minnesota, Minneapolis, MN
Softcover ISBN:  978-0-8218-7584-1
Product Code:  CONM/563
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8535-2
Product Code:  CONM/563.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-7584-1
eBook ISBN:  978-0-8218-8535-2
Product Code:  CONM/563.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5632012; 211 pp
    MSC: Primary 12; 33; 81; 82

    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 Matemáticas y sus Aplicaciones (IMA).
    Readership

    Graduate students and research mathematicians interested in algebraic aspects of Supersymmetric Quantum Mechanics and Integrable systems.

  • Table of Contents
     
     
    • Articles
    • Yurii V.Brezhnev — Spectral/quadrature duality: Picard–Vessiot theory and finite-gap potentials
    • D. Dutta and P. Roy — Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty
    • David Gómez-Ullate, Niky Kamran and Robert Milson — On orthogonal polynomials spanning a non-standard flag
    • M. A. Gonzalez Leon, J. Mateos Guilarte, M.J. Senosiain and M. de la Torre Mayado — On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
    • Yves Grandati and Alain Bérard — Solvable rational extension of translationally shape invariant potentials
    • Valentin Ovsienko — The pentagram map: geometry, algebra, integrability
    • Enrique G. Reyes — Jet Bundles, symmetries, Darboux transforms
    • Axel Schulze-Halberg — Explicit higher-dimensional Darboux transformations for the time-dependent Schrödinger equation
    • V. P. Spiridonov — Elliptic beta integrals and solvable models of statistical mechanics
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5632012; 211 pp
MSC: Primary 12; 33; 81; 82

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 Matemáticas y sus Aplicaciones (IMA).
Readership

Graduate students and research mathematicians interested in algebraic aspects of Supersymmetric Quantum Mechanics and Integrable systems.

  • Articles
  • Yurii V.Brezhnev — Spectral/quadrature duality: Picard–Vessiot theory and finite-gap potentials
  • D. Dutta and P. Roy — Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty
  • David Gómez-Ullate, Niky Kamran and Robert Milson — On orthogonal polynomials spanning a non-standard flag
  • M. A. Gonzalez Leon, J. Mateos Guilarte, M.J. Senosiain and M. de la Torre Mayado — On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
  • Yves Grandati and Alain Bérard — Solvable rational extension of translationally shape invariant potentials
  • Valentin Ovsienko — The pentagram map: geometry, algebra, integrability
  • Enrique G. Reyes — Jet Bundles, symmetries, Darboux transforms
  • Axel Schulze-Halberg — Explicit higher-dimensional Darboux transformations for the time-dependent Schrödinger equation
  • V. P. Spiridonov — Elliptic beta integrals and solvable models of statistical mechanics
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.