Mathematical Physics of Quantum Mechanics

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 The Ten Martini Problem
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   Chapter 3 Swimming Lessons for Microbots
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   Chapter 4 Landau-Zener Formulae from Adiabatic Transition Histories
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   Chapter 5 Scattering Theory of Dynamic Electrical Transport
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   Chapter 6 The Landauer-Büttiker Formula and Resonant Quantum Transport
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   Chapter 7 Point Interaction Polygons: An Isoperimetric Problem
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   Chapter 8 Limit Cycles in Quantum Mechanics
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    Chapter 9 Cantor Spectrum for Quasi-Periodic Schrödinger Operators
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    Chapter 10 Adiabatic Theorems and Reversible Isothermal Processes
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    Chapter 11 Quantum Massless Field in 1+1 Dimensions
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    Chapter 12 Stability of Multi-Phase Equilibria
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    Chapter 13 Ordering of Energy Levels in Heisenberg Models and Applications
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    Chapter 14 Interacting Fermions in 2 Dimensions
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    Chapter 15 On the Essential Spectrum of the Translation Invariant Nelson Model
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    Chapter 16 Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
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    Chapter 17 Long Time Behaviour to the Schrödinger–Poisson–Xα Systems
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    Chapter 18 Towards the Quantum Brownian Motion
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    Chapter 19 Bose-Einstein Condensation and Superradiance
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    Chapter 20 Derivation of the Gross-Pitaevskii Hierarchy
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    Chapter 21 Towards a Microscopic Derivation of the Phonon Boltzmann Equation
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    Chapter 22 On the Quantization of Hall Currents in Presence of Disorder
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    Chapter 23 Equality of the Bulk and Edge Hall Conductances in 2D
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    Chapter 24 Generic Subsets in Spaces of Measures and Singular Continuous Spectrum
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    Chapter 25 Low Density Expansion for Lyapunov Exponents
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    Chapter 26 Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensembles
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    Chapter 27 Recent Results on Quantum Map Eigenstates
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    Chapter 28 Level Repulsion and Spectral Type for One-Dimensional Adiabatic Quasi-Periodic Schrödinger Operators
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    Chapter 29 Low Lying Eigenvalues of Witten Laplacians and Metastability (After Hel.er-Klein-Nier and Helffer-Nier)
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    Chapter 30 The Mathematical Formalism of a Particle in a Magnetic Field
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    Chapter 31 Fractal Weyl Law for Open Chaotic Maps
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    Chapter 32 Spectral Shift Function for Magnetic Schrödinger Operators
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    Chapter 33 Counting String/M Vacua