Mathematical Physics of Quantum Mechanics
Springer Berlin (Verlag)
978-3-642-42157-0 (ISBN)
At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems. Based on that event, this book offers a selection of outstanding articles written in pedagogical style comprising six sections which cover new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and much more. For postgraduate students, Mathematical Physics of Quantum Systems serves as a useful introduction to the research literature. For more expert researchers, this book will be a concise and modern source of reference.
Quantum Dynamics and Spectral Theory.- Solving the Ten Martini Problem.- Swimming Lessons for Microbots.- Landau-Zener Formulae from Adiabatic Transition Histories.- Scattering Theory of Dynamic Electrical Transport.- The Landauer-Büttiker Formula and Resonant Quantum Transport.- Point Interaction Polygons: An Isoperimetric Problem.- Limit Cycles in Quantum Mechanics.- Cantor Spectrum for Quasi-Periodic Schrödinger Operators.- Quantum Field Theory and Statistical Mechanics.- Adiabatic Theorems and Reversible Isothermal Processes.- Quantum Massless Field in 1+1 Dimensions.- Stability of Multi-Phase Equilibria.- Ordering of Energy Levels in Heisenberg Models and Applications.- Interacting Fermions in 2 Dimensions.- On the Essential Spectrum of the Translation Invariant Nelson Model.- Quantum Kinetics and Bose-Einstein Condensation.- Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.- Long Time Behaviour to the Schrödinger-Poisson-X? Systems.- Towards the Quantum Brownian Motion.- Bose-Einstein Condensation and Superradiance.- Derivation of the Gross-Pitaevskii Hierarchy.- Towards a Microscopic Derivation of the Phonon Boltzmann Equation.- Disordered Systems and Random Operators.- On the Quantization of Hall Currents in Presence of Disorder.- Equality of the Bulk and Edge Hall Conductances in 2D.- Generic Subsets in Spaces of Measures and Singular Continuous Spectrum.- Low Density Expansion for Lyapunov Exponents.- Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensembles.- Semiclassical Analysis and Quantum Chaos.- Recent Results on Quantum Map Eigenstates.- Level Repulsion and Spectral Type for One-Dimensional Adiabatic Quasi-Periodic Schrödinger Operators.- Low Lying Eigenvalues of Witten Laplacians and Metastability(After Hel.er-Klein-Nier and Helffer-Nier).- The Mathematical Formalism of a Particle in a Magnetic Field.- Fractal Weyl Law for Open Chaotic Maps.- Spectral Shift Function for Magnetic Schrödinger Operators.- Counting String/M Vacua.
| Erscheint lt. Verlag | 6.11.2014 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Zusatzinfo | XXI, 462 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 771 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Analysis • Calculus • differential equation • eigenvalue • Mathematical Physics • Quantum Chaos • quantum dynamics • quantum field theory • quantum mechanics • random operators • scattering theory • spectral theory |
| ISBN-10 | 3-642-42157-1 / 3642421571 |
| ISBN-13 | 978-3-642-42157-0 / 9783642421570 |
| Zustand | Neuware |
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