Multiscale Methods in Quantum Mechanics
Theory and Experiment
Published on 15. June 2004
Book
Hardback
IX, 220 pages
978-0-8176-3256-4 (ISBN)
Description
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. 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.
Reviews / Votes
"During recent years spectacular progress has been made in experimentally testing the foundations of quantum mechanics. This development has been complemented by significant theoretical advances in the mathematical description of complex quantum mechanical systems mainly based on so called mutiscale methods" ---Monatshefte für MathematikMore details
Series
Edition
2004 ed.
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
IX, 220 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 18 mm
Weight
524 gr
ISBN-13
978-0-8176-3256-4 (9780817632564)
DOI
10.1007/978-0-8176-8202-6
Schweitzer Classification
Other editions
Additional editions
Philippe Blanchard | Gianfausto Dell'Antonio
Multiscale Methods in Quantum Mechanics
Theory and Experiment
Book
03/2013
Springer-Verlag New York Inc.
€160.49
Shipment within 15-20 days
Content
1 Organic Molecules and Decoherence Experiments in a Molecule Interferometer.- 2 Colored Hofstadter Butterflies.- 3 Semiclassical Normal Forms.- 4 On the Exit Statistics Theorem of Many-particle Quantum Scattering.- 5 Two-scale Wigner Measures and the Landau-Zener Formulas.- 6 Stability of Three-and Four-Body Coulomb Systems.- 7 Almost Invariant Subspaces for Quantum Evolutions.- 8 Nonlinear Asymptotics for Quantum Out-of-Equilibrium 1D Systems: Reduced Models and Algorithms.- 9 Decoherence-induced Classical Properties in Infinite Quantum Systems.- 10 Classical versus Quantum Structures: The Case of Pyramidal Molecules.- 11 On the Quantum Boltzmann Equation.- 12 Remarks on Time-dependent Schrödinger Equations, Bound States, and Coherent States.- 13 Nonlinear Time-dependent Schrödinger Equations with Double-Well Potential.- 14 Classical and Quantum: Some Mutual Clarifications.- 15 Localization and Delocalization for Nonstationary Models.- 16 On a Rigorous Proof of the Joos-Zeh Formula for Decoherence in a Two-body Problem.- 17 Propagation of Wigner Functions for the Schrödinger Equation with a Perturbed Periodic Potential.