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Bilinear Integrable Systems, From Classical To Quantum, Continuous To Discrete
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ISBN: 9781402035012

ID: 9129240

On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday. On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors, followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid: Elbaisbeautiful, butabitsmall. Elbawasde?nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint? shing port, Marciana Marina on theislandofElba, tocelebrateoneofthepioneersofintegrablesystems, Hirota Sensei, andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the? eld of "Quantum Statistical mechanics". He wrote a widely appreciated Doctoral dissertation on "FunctionalIntegralrepresentationofthegrandpartitionfunction". Books, Science and Geography~~Mathematics, Bilinear Integrable Systems, From Classical To Quantum, Continuous To Discrete~~Book~~9781402035012, , , , , , , , , ,, [PU: Springer]

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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete: Proceedings of the NATO Advanced Research Workshop on Bilinear ... 2002 (Nato Science Series II: (closed)) - Ludwig Faddeev (Editor), Pierre Van Moerbeke (Editor), Franklin Lambert (Editor)
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Physics; Mathematical Methods in Physics Finite, Identity, Lie, Potential, algebra, equation, function, geometry Books Book, Springer Science+Business Media

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Bilinear Integrable Systems, from Classical to Quantum, Continuous to Discrete

PThe CKP hierarchy and the WDVV prepotential.- Quantum invariance groups of particle algebras.- Algebraic Hirota maps.- Boundary states in Susy Sine-Gordon model.- Geometry of discrete integrability. The consistency approach.- Homoclinic orbits and dressing method.- Riemann-Hilbert problem and algebraic curves.- Analytic and algebraic aspects of Toda field theories and their real Hamiltonian forms.- Bilinear avatars of the discrete Painlev¿I equation.- Orthogonal polynomials satisfying Q-difference equations.- Discretization of coupled soliton equations.- An adelic W-algebra and rank one bispectral operators.- Toroidal Lie algebra and bilinear identity of the self-dual Yang-Mills hierarchy.- From soliton equations to their zero curvature formulation.- Covariant forms of Lax one-field operators: from Abelian to non-commutative.- On the Dirichlet boundary problem and Hirota equations.- Functional-difference deformations of Darboux-P¿shl-Teller potentials.- Maxwell equations for quantum space-time.- A solvable model of interacting photons.- Discretization of a Sine-Gordon type equation- Hierarchy of quantum explicitly solvable and integrable models.- A two-parameter elliptic extension of the lattice KDV system.- Travelling waves in a perturbed discrete Sine-Gordon equation.- Quantum VS classical Calogero-Moser systems.- Geometrical dynamics of an integrable piecewise-linear mapping.- Free bosons and dispersionless limit of Hirota tau-function.- Similarity reductions of Hirota bilinear equations and Painlev¿quations.- On fundamental cycle of periodic Box-Ball systems.- Combinatorics and integrable geometry.- On reductions of some KDV-type systems and their link to the quartic H¿n-Heiles Hamiltonian.- On the bilinear forms of Painlev¿ 4th equation./P

Detailangaben zum Buch - Bilinear Integrable Systems, from Classical to Quantum, Continuous to Discrete


EAN (ISBN-13): 9781402035012
ISBN (ISBN-10): 1402035012
Gebundene Ausgabe
Erscheinungsjahr: 2006
Herausgeber: Springer-Verlag GmbH
390 Seiten
Gewicht: 0,771 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 06.06.2007 17:23:21
Buch zuletzt gefunden am 15.09.2017 18:03:23
ISBN/EAN: 9781402035012

ISBN - alternative Schreibweisen:
1-4020-3501-2, 978-1-4020-3501-2


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