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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| 団体著者: | |
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| その他の著者: | , |
| フォーマット: | 電子媒体 eBook |
| 言語: | English |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| 版: | 1st ed. 2006. |
| シリーズ: | Lecture Notes in Physics,
690 |
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/b11573432 |
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目次:
- 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.