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Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics
About this Title
Primitivo B. Acosta-Humánez, Universidad del Norte, Barranquilla, Colombia, Federico Finkel, Universidad Complutense de Madrid, Madrid, Spain, Niky Kamran, McGill University, Montreal, Quebec, Canada and Peter J. Olver, University of Minnesota, Minneapolis, MN, Editors
Publication: Contemporary Mathematics
Publication Year:
2012; Volume 563
ISBNs: 978-0-8218-7584-1 (print); 978-0-8218-8535-2 (online)
DOI: https://doi.org/10.1090/conm/563
Table of Contents
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Front/Back Matter
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