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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
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
Descrizione fisica 1 online resource (226 p.)
Disciplina 512/.56
Collana Contemporary mathematics
Soggetto topico Differential algebra
Darboux transformations
Quantum theory - Mathematics
Soggetto genere / forma Electronic books.
ISBN 0-8218-8535-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910480116703321
Providence, Rhode Island : , : American Mathematical Society
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
Descrizione fisica 1 online resource (226 p.)
Disciplina 512/.56
Collana Contemporary mathematics
Soggetto topico Differential algebra
Darboux transformations
Quantum theory - Mathematics
ISBN 0-8218-8535-9
Classificazione 12H0533E3081Q6081Q8082B2333E99
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 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.
Record Nr. UNINA-9910788636203321
Providence, Rhode Island : , : American Mathematical Society
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
Descrizione fisica 1 online resource (226 p.)
Disciplina 512/.56
Collana Contemporary mathematics
Soggetto topico Differential algebra
Darboux transformations
Quantum theory - Mathematics
ISBN 0-8218-8535-9
Classificazione 12H0533E3081Q6081Q8082B2333E99
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 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.
Record Nr. UNINA-9910822597303321
Providence, Rhode Island : , : American Mathematical Society
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / Primitivo B. Acosta-Humanez ... [et al.], editors
Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / Primitivo B. Acosta-Humanez ... [et al.], editors
Pubbl/distr/stampa Providence, R. I. : American Mathematical Society
Descrizione fisica ix, 211 p. : ill. ; 26 cm
Disciplina 512.56
Altri autori (Persone) Acosta Humanez, Primitivo B.
Collana Contemporary mathematics, 0271-4132 ; 563
Soggetto topico Differential algebra
Darboux transformations
Quantum theory - Mathematics
ISBN 9780821875841
Classificazione AMS 12H05
AMS 33E30
AMS 81Q80
LC QA247.4.A45
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001856059707536
Providence, R. I. : American Mathematical Society
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / / C. Rogers, W.K. Schief [[electronic resource]]
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / / C. Rogers, W.K. Schief [[electronic resource]]
Autore Rogers C.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2002
Descrizione fisica 1 online resource (xvii, 413 pages) : digital, PDF file(s)
Disciplina 530.124
Collana Cambridge texts in applied mathematics
Soggetto topico Solitons
Bäcklund transformations
Darboux transformations
ISBN 0-511-15790-8
0-511-60635-4
0-511-02054-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Altri titoli varianti Bäcklund & Darboux Transformations
Record Nr. UNINA-9910455604003321
Rogers C.  
Cambridge : , : Cambridge University Press, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / / C. Rogers, W.K. Schief [[electronic resource]]
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / / C. Rogers, W.K. Schief [[electronic resource]]
Autore Rogers C.
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2002
Descrizione fisica 1 online resource (xvii, 413 pages) : digital, PDF file(s)
Disciplina 530.124
Collana Cambridge texts in applied mathematics
Soggetto topico Solitons
Bäcklund transformations
Darboux transformations
ISBN 0-511-15790-8
0-511-60635-4
0-511-02054-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Altri titoli varianti Bäcklund & Darboux Transformations
Record Nr. UNINA-9910780252403321
Rogers C.  
Cambridge : , : Cambridge University Press, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / C. Rogers, W. K. Schief
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory / C. Rogers, W. K. Schief
Autore Rogers, C.
Pubbl/distr/stampa Cambridge ; New York : Cambridge University Press, 2002
Descrizione fisica xvii, 413 p. : ill. ; 23 cm
Altri autori (Persone) Schief, Wolfgang Karl
Collana Cambridge texts in applied mathematics
Soggetto topico Solitons
Bäcklund transformations
Darboux transformations
ISBN 052181331X
0521012880 (pb.)
Classificazione LC QC174.26
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003323859707536
Rogers, C.  
Cambridge ; New York : Cambridge University Press, 2002
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Darboux transformations and solitons / Vladimir B. Matveev, Mikhail A. Salle
Darboux transformations and solitons / Vladimir B. Matveev, Mikhail A. Salle
Autore Matveev, Vladimir B.
Pubbl/distr/stampa Berlin : Springer-Verlag, c1991
Descrizione fisica viii, 120 p. : ill. ; 25 cm.
Altri autori (Persone) Salle, Mikhail A.
Collana Springer series in nonlinear dynamics / F. Calogero...[et al.]
Soggetto topico Darboux transformations
ISBN 3540506608
Classificazione 53.1.32
53.1.36
510.34
510.35
530.1'4
QC174.26.W28M37
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000881489707536
Matveev, Vladimir B.  
Berlin : Springer-Verlag, c1991
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Darboux transformations in integrable systems : theory and their applications to geometry / by Chaohao Gu, Hesheng Hu and Zixiang Zhou
Darboux transformations in integrable systems : theory and their applications to geometry / by Chaohao Gu, Hesheng Hu and Zixiang Zhou
Autore Gu, Chaohao
Pubbl/distr/stampa Dordrecht : Springer, 2004
Descrizione fisica x, 308 p. : ill. ; 25 cm
Altri autori (Persone) Hu, Heshengauthor
Zhou, Zixiang
Collana Mathematical physics studies, 0921-3767 ; v. 26
Soggetto topico Darboux transformations
Integral geometry
ISBN 1402030878 (hd.bd.)
1402030886 (e-book)
Classificazione LC QC19.2
53.1.3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001024859707536
Gu, Chaohao  
Dordrecht : Springer, 2004
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Inverse problems and nonlinear evolution equations : solutions, Darboux matrices and Weyl-Titchmarsh functions / / by Alexander Sakhnovich, Lev Sakhnovich, Inna Roitberg
Inverse problems and nonlinear evolution equations : solutions, Darboux matrices and Weyl-Titchmarsh functions / / by Alexander Sakhnovich, Lev Sakhnovich, Inna Roitberg
Autore Sakhnovich Alexander
Pubbl/distr/stampa Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co., KG, , [2013]
Descrizione fisica 1 online resource (356 p.)
Disciplina 515.357
515/.357
Altri autori (Persone) RoitbergInna
SakhnovichL. A
Collana De Gruyter Studies in Mathematics
Soggetto topico Boundary value problems
Darboux transformations
Evolution equations, Nonlinear
Functions
Inverse problems (Differential equations)
Matrices
Soggetto genere / forma Electronic books.
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface -- Notation -- Contents -- 0 Introduction -- 1 Preliminaries -- 2 Self-adjoint Dirac system: rectangular matrix potentials -- 3 Skew-self-adjoint Dirac system: rectangular matrix potentials -- 4 Linear system auxiliary to the nonlinear optics equation -- 5 Discrete systems -- 6 Integrable nonlinear equations -- 7 General GBDT theorems and explicit solutions of nonlinear equations -- 8 Some further results on inverse problems and generalized Bäcklund-Darboux transformation (GBDT) -- 9 Sliding inverse problems for radial Dirac and Schrödinger equations -- Appendices -- A General-type canonical system: pseudospectral and Weyl functions -- B Mathematical system theory -- C Krein's system -- D Operator identities corresponding to inverse problems -- E Some basic theorems -- Bibliography -- Index
Record Nr. UNINA-9910462666203321
Sakhnovich Alexander  
Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co., KG, , [2013]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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