Open Quantum Systems III. Vol.3 - Recent Developments

This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on "Open Quantum Systems" which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics.

List of contents

Topics in Non-Equilibrium Quantum Statistical Mechanics.- Fermi Golden Rule and Open Quantum Systems.- Decoherence as Irreversible Dynamical Process in Open Quantum Systems.- Notes on the Qualitative Behaviour of Quantum Markov Semigroups.- Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus.

Product details

• Authors: Stéphane Attal, Alain Joye, Claude-Alain Pillet
• Assisted by: Stéphane Attal (Editor), Alai Joye (Editor), Alain Joye (Editor), Claude-Alain Pillet (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 14.06.2006
• EAN: 9783540309932
• ISBN: 978-3-540-30993-2
• No. of pages: 314
• Dimensions: 156 mm x 235 mm x 238 mm
• Weight: 514 g
• Illustrations: XVI, 314 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Stochastik, B, Wahrscheinlichkeitsrechnung und Statistik, Funktionalanalysis und Abwandlungen, Dynamics, Mathematics and Statistics, Probability Theory and Stochastic Processes, Probability & statistics, Dynamical Systems and Ergodic Theory, Ergodic theory, Dynamical systems, Probabilities, Stochastics, Probability Theory, Functional analysis & transforms, Operator Theory