Multiscale Methods in Quantum Mechanics

Theory and Experiment

Philippe Blanchard, Gianfausto Dell'Antonio (Herausgeber)

Buch | Softcover

220 Seiten

2013 | Softcover reprint of the original 1st ed. 2004
Springer-Verlag New York Inc.
9781461264880 (ISBN)

Artikel merken

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.

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.

Reihe/Serie	Trends in Mathematics
Zusatzinfo	IX, 220 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-13	9781461264880 / 9781461264880
Zustand	Neuware