Non-commutativity, infinite-dimensionality and probability at the crossroads : proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001

Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001

Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability...

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Detalles Bibliográficos
Autores Corporativos: RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability (-), Kyōto Daigaku. Sūri Kaiseki Kenkyūjo
Otros Autores: Obata, Nobuaki, 1957- (-), Matsui, Taku, Hora, Akihito
Formato: Libro electrónico
Idioma:Inglés
Publicado: Singapore ; River Edge, N.J. : World Scientific c2002.
Colección:EBSCO Academic eBook Collection Complete.
QP-PQ, quantum probability and white noise analysis ; v. 16.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b30891619*spi
Tabla de Contenidos:
  • Expository articles. Mathematical theory of quantum particles interacting with a quantum field / A. Arai
  • H-P quantum stochastic differential equations / F. Fagnola
  • Free relative entropy and q-deformation theory / F. Hiai
  • Quantum white noise calculus / U.C. Ji & N. Obata
  • Research papers. Interacting Fock spaces and orthogonal polynomials in several variables / L. Accardi & M. Nahni
  • Can "quantumness" be an origin of dissipation? / T. Arimitsu
  • Eventum mechanics as the crossroad of probability, infinite-dimensionality and non-commutativity / V.P. Belavkin
  • What is stochastic independence? / U. Franz
  • Creation-annihilation processes on cellar complecies / Y. Hashimoto
  • White noise analysis
  • a more general approach / T. Hida
  • Characters for the infinite Weyl groups of type B[symbol] and D[symbol], and for analogous groups / T. Hirai & E. Hirai
  • Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups / A. Hora
  • Brownian motion and classifying spaces / R. Léandre
  • Fock space and representation of some infinite dimensional groups / T. Matsui & Y. Shimada
  • Cauchy processes and the Lévy Laplacian / N. Obata & K. Saito
  • Separation of non-commutative procedures
  • exponential product formulas and quantum analysis / M. Suzuki
  • Free product actions and their applications / Y. Ueda
  • Remarks on the s-free convolution / H. Yoshida.

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