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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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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.
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| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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-9910808768403321 |
|
Rogers C.
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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.
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| 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 |
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Matveev, Vladimir B.
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| 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 |
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Gu, Chaohao
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| Dordrecht : Springer, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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