LEADER 04526nam 2200613 450 001 9910480116703321 005 20180613001242.0 010 $a0-8218-8535-9 035 $a(CKB)3240000000070086 035 $a(EBL)3113337 035 $a(SSID)ssj0000601382 035 $a(PQKBManifestationID)11361987 035 $a(PQKBTitleCode)TC0000601382 035 $a(PQKBWorkID)10566369 035 $a(PQKB)10960870 035 $a(MiAaPQ)EBC3113337 035 $a(PPN)197102069 035 $a(EXLCZ)993240000000070086 100 $a20120110h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAlgebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics $eJairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia /$fPrimitivo B. Acosta-Huma?nez [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society ;$a[Madrid] :$cInstituto de Matematicas y sus Aplicaciones,$d[2012] 210 4$d©2012 215 $a1 online resource (226 p.) 225 1 $aContemporary mathematics ;$vvolume 563 300 $aDescription based upon print version of record. 311 $a0-8218-7584-1 320 $aIncludes bibliographical references. 327 $a""Preface""; ""Spectral/quadrature duality: Picarda???Vessiot theory and finite-gap potentials""; ""1. Introduction""; ""2. Background""; ""3. Integrability of equation (1) by Picarda???Vessiot""; ""4. Spectral/quadrature duality. An integration procedure""; ""5. The I??-functons""; ""6. Integration as a linearly exponential I??-extension""; ""7. Integrability and differential closedness""; ""8. Definition of through Liouvillian extension""; ""9. Non-finite-gap integrable counterexamples""; ""10. Concluding remarks""; ""References"" 327 $a""Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty""""1. Introduction""; ""2. A brief outline of supersymmetric quantum mechanics""; ""3. EOPa???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"" 327 $a""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"" 327 $a""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"" 327 $a""Elliptic beta integrals and solvable models of statistical mechanics"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 563. 606 $aDifferential algebra$vCongresses 606 $aDarboux transformations$vCongresses 606 $aQuantum theory$xMathematics$vCongresses 608 $aElectronic books. 615 0$aDifferential algebra 615 0$aDarboux transformations 615 0$aQuantum theory$xMathematics 676 $a512/.56 702 $aAcosta Humanez$b Primitivo B. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480116703321 996 $aAlgebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics$9241049 997 $aUNINA LEADER 01114nam2 22002773i 450 001 BRI0023138 005 20211224071830.0 020 $aIT$b73-11090 100 $a19970709d1973 ||||0itac50 ba 101 | $aita$aspa 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $a˜2: œItaliano-spagnolo$fLucio Ambruzzi 205 $a7. ed. accresciuta$baggiornata e corretta 210 $aTorino$cParavia$d1973 215 $aXX, 1289 p.$d23 cm. 461 1$1001UM10017749$12001 $aNuovo dizionario spagnolo-italiano e italiano-spagnolo$fLucio Ambruzzi$v2 700 1$aAmbruzzi$b, Lucio$3CFIV062814$4070$034932 801 3$aIT$bIT-NA0079$c19970709 850 $aIT-BN0095 $aIT-NA0079 $aIT-CE0072 $aIT-NA0313 912 $aBRI0023138 950 2$aBiblioteca Centralizzata di Ateneo$bv. 1-2$cv. 1-2$d 01CONSULT. B 0001$e 0101 0000142755 B (002 v. 2 (20. rist. dell'ed. 1973)$fZ $h20091006$i20091006 977 $a 01$a BN$a CE$a SE 996 $aItaliano-spagnolo$961106 997 $aUNISANNIO