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Mathematical Physics of Quantum Mechanics [2006]
- 12
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Stability of Multi-Phase Equilibria
- 1
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Introduction
- 5
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Solving the Ten Martini Problem
- 17
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Swimming Lessons for Microbots
- 19
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Landau-Zener Formulae from Adiabatic Transition Histories
- 33
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Scattering Theory of Dynamic Electrical Transport
- 45
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The Landauer-Büttiker Formula and Resonant Quantum Transport
- 55
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Point Interaction Polygons: An Isoperimetric Problem
- 65
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Limit Cycles in Quantum Mechanics
- 79
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Cantor Spectrum for Quasi-Periodic Schrödinger Operators
- 95
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Adiabatic Theorems and Reversible Isothermal Processes
- 107
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Quantum Massless Field in 1+1 Dimensions
- 149
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Ordering of Energy Levels in Heisenberg Models and Applications
- 171
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Interacting Fermions in 2 Dimensions
- 179
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On the Essential Spectrum of the Translation Invariant Nelson Model
- 199
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Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
- 217
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Long Time Behaviour to the Schrödinger–Poisson–X<Superscript>α</Superscript> Systems
- 233
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Towards the Quantum Brownian Motion
- 259
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Bose-Einstein Condensation and Superradiance
- 279
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Derivation of the Gross-Pitaevskii Hierarchy
- 295
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Towards a Microscopic Derivation of the Phonon Boltzmann Equation
- 307
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On the Quantization of Hall Currents in Presence of Disorder
- 325
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Equality of the Bulk and Edge Hall Conductances in 2<Emphasis Type="Italic">D</Emphasis>
- 333
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Generic Subsets in Spaces of Measures and Singular Continuous Spectrum
- 343
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Low Density Expansion for Lyapunov Exponents
- 351
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Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensembles
- 367
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Recent Results on Quantum Map Eigenstates
- 383
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Level Repulsion and Spectral Type for One-Dimensional Adiabatic Quasi-Periodic Schrödinger Operators
- 403
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Low Lying Eigenvalues of Witten Laplacians and Metastability (After Hel.er-Klein-Nier and Helffer-Nier)
- 417
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The Mathematical Formalism of a Particle in a Magnetic Field
- 435
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Fractal Weyl Law for Open Chaotic Maps
- 451
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Spectral Shift Function for Magnetic Schrödinger Operators
- 467
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Counting String/M Vacua