Multiscale methods in quantum mechanics : theory and experiment
 Language
 English.
 Imprint
 Boston : Birkhäuser, c2004.
 Physical description
 viii, 220 p. : ill. ; 24 cm.
 Series
 Trends in mathematics.
Access
Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Preface. Organic Molecules and Decoherence Experiments in a Molecule Interferometer. Colored Hofstadter Butterflies. Semiclassical Normal Forms. On the Exit Statistics Theorem of Manyparticle Quantum Scattering. Twoscale Wigner Measures and the LandauZener Formulas. Stability of Three and FourBody Coulomb Systems. Almost Invariant Subspaces for Quantum Evolutions. Nonlinear Asymptotics for Quantum OutofEquilibrium 1D Systems: Reduced Models and Algorithms. Decoherenceinduced Classical Properties in Infinite Quantum Systems. Classical versus Quantum Structures: The Case of Pyramidal Molecules. On the Quantum Boltzmann Equation. Remarks on Timedependent Schrodinger Equations, Bound States, and Coherent States. Nonlinear Timedependent Schrodinger Equation with Double Well Potential. Classical and Quantum: Some Mutual Clarifications. Localization and Delocalization for Nonstationary Models. On a Rigorous Proof of the JoosZeh Formula for Decoherence in a Twobody Problem. Propagation of Wigner Functions for the Schrodinger Equation with a Perturbed Periodic Potential.
 (source: Nielsen Book Data)
 Publisher's Summary
 In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. In view of this progress, this volume is very timely; it is the first text totally devoted to multiscale methods as applied to various areas of physics and to the relative developments in mathematics.The book is aimed at mathematical physicists, theoretical physicists, applied mathematicians, and experimental physicists working in such areas as decoherence, quantum information, and quantum optics.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2004
 Responsibility
 Philippe Blanchard, Gianfausto Dell'Antonio, editors.
 Series
 Trends in mathematics
 ISBN
 0817632565
 9780817632564