Quantum probability and related topics : proceedings of the 28th conference CIMAT-Guanajuato, Mexico, 2-8 September 2007 / editors, J.C. Garcia, R. Quezada, S.B. Sontz.

Format:

Book

Conference/Event

Author/Creator:

QP Conference on Quantum Probability and Related Topics, Corporate Author.

Contributor:

García, J. C.

Quezada, R.

Sontz, S. B.

Conference Name:

QP Conference on Quantum Probability and Related Topics (28th : 2007 : Guanajuato, Mexico)

QP Conference on Quantum Probability and Related Topics.

Series:

QP-PQ, quantum probability and white noise analysis ; v. 23.

QP-PQ: quantum probability and white noise analysis ; v. 23

Language:

English

Subjects (All):

Probabilities--Congresses.

Probabilities.

Quantum theory--Congresses.

Quantum theory.

Physical Description:

1 online resource (288 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

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.

Contents:

Preface; CONTENTS; Linear Independence of the Renormalized Higher Powers of White Noise L. Accardi & A. Boukas; 1. Introduction: Renormalized Higher Powers of White Noise; 2. Linear independence of the RHPWN generators; References; Brownian Dynamics Simulation for Protein Folding and Binding T. Ando; 1. Introduction; 2. Methods and Models; 2.1. Brownian dynamics simulation algorithm; 2.2. Force field; 2.3. Umbrella sampling; 2.4. Models; 2.5. Analysis; 2.5.1. Native contacts; 2.5.2. Cluster analysis; 3. Results and Discussion; 3.1. Computational time

3.2. Folding simulations of α-helical and β-hairpin peptides3.2.1. Folding trajectories; 3.2.2. Energy components; 3.2.3. Cluster analysis; 3.3. Binding a.nity calculation; 4. Conclusion; Acknowledgments; References; Quantum Fokker-Planck Models: The Lindblad and Wigner Approaches A. Arnold, F. Fagnola & L. Neumann; 1. Quantum Fokker-Planck model; 2. Passage from the Wigner equation to the master equation; 3. Key inequalities for the existence of a steady state; 4. Domain problems; 5. Construction of the minimal quantum dynamical semigroup; 6. Markovianity of the Quantum Dynamical Semigroup

1.1. Hudson Parthasarathy equation1.2. The reduced dynamics of the system; 1.3. The field observables; 1.4. Characteristic operator, probabilities and moments; 2. The spectrum of the output; 2.1. The spectrum of a stationary process; 2.2. The spectrum of the output in a finite time horizon; 2.3. Properties of the spectrum and the Heisenberg uncertainty relations; 3. Squeezing of the .uorescence light of a two-level atom; References; Characterization Theorems in Gegenbauer White Noise Theory A. Barhoumi, A. Riahi & H. Ouerdiane; 1. Introduction; 2. Gegenbauer White Noise Space

3. Gegenbauer Test and Generalized Functions4. Characterization Theorems for Test and Generalized Functions; 4.1. The Sβ.transform; 4.2. Characterization of test and generalized functions; References; A Problem of Powers and the Product of Spatial Product Systems B. V. R. Bhat, V. Liebscher & M. Skeide; 1. Introduction; 2. Product systems, CP-semigroups, E0-semigroups and dilations; 2.1. Product systems; 2.2. Units; 2.3. The product system of a CP-semigroup; 2.4. The product system of an E0-semigroup on Ba(E); 2.5. Dilation and minimal dilation; 2.6. Spatial product systems

2.7. The product of spatial product systems

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9789812835277

981283527X

OCLC:

820944627