Mathematical Physics of Quantum Mechanics Selected and Refereed Lectures from QMath9 /

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 spe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Asch, Joachim (Editor ), Joye, Alain (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Physics, 690
Temas:
Mathematical physics.
Quantum physics.
Mathematical analysis.
Mathematical Methods in Physics.
Quantum Physics.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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