Quantum Probability and Related Topics: Proceedings of the 28th Conference

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This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.

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Product Details

  • ISBN-13: 9789812835260
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 2/2/2009
  • Pages: 288
  • Product dimensions: 6.20 (w) x 9.00 (h) x 0.90 (d)

Table of Contents

Preface v

Linear Independence of the Renormalized Higher Powers of White Noise L. Accardi A. Boukas 1

Brownian Dynamics Simulation for Protein Folding and Binding T. Ando 11

Quantum Fokker-Planck Models: The Lindblad and Wigner Approaches A. Arnold F. Fagnola L. Neumann 23

Hilbert Space of Analytic Functions Associated with a Rotation Invariant Measure N. Asai 49

Quantum Continuous Measurements: The Spectrum of the Output A. Barchielli M. Gregoratti 63

Characterization Theorems in Gegenbauer White Noise Theory A. Barhoumi A. Riahi H. Ouerdiane 77

A Problem of Powers and the Product of Spatial Product Systems B. V. R. Bhat V. Liebscher M. Skeide 93

Free Martingale Polynomials for Stationary Jacobi Processes N. Demni 107

Accardi Complementarity for - 1/2 m 0 and Related Results L. A. Echavarria-Cepeda C. J. Pita-Ruiz-Velasco S. B. Sontz 120

Quantum Models of Brain Activities I. Recognition of Signals K.-H. Fichtner L. Fichtner 135

Kallman Decompositions of Endomorphisms of von Neumann Algebras R. Floricel 145

Schrodinger Equation, Lp-Duality and the Geometry of Wigner-Yanase-Dyson Information P. Gibilisco D. Imparato T. Isola 157

Multiplicative Renormalization Method for Orthogonal Polynomials H.-H. Kuo 165

Quantum Lp and Orlicz Spaces L. E. Labuschange W. A. Majewski 176

Vicious Random Walkers and Truncated Haar Unitaries J. I. Novak 190

Incoherent Quantum Control A. Pechen H. Rabitz 197

Compromising Non-Demolition and Information Gaining for Qubit State Estimation L. Ruppert A. Magyar K. M. Hangos 212

Positivity of Free Convolution Semigroups M. Schurmann S. Vo&Eszett; 225

Quasi-Free Stochastic Integrals and Martingale Representation W. J.Spring 236

A Method of Recovering the Moments of a Probability Measure from Commutators A. I. Stan J. J. Whitaker 242

Description of Decoherence by Means of Translation-Covariant Master Equations and Levy Processes B. Vacchini 254

Minimum Back-Action Measurement via Feedback M. Yanagisawa 266

Author Index 277

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