LEADER 04653nam 2200649 450 001 996466685303316 005 20210210122942.0 010 $a1-280-62706-9 010 $a9786610627066 010 $a3-540-34273-7 024 7 $a10.1007/b11573432 035 $a(CKB)1000000000282352 035 $a(EBL)3036484 035 $a(SSID)ssj0000199163 035 $a(PQKBManifestationID)11172664 035 $a(PQKBTitleCode)TC0000199163 035 $a(PQKBWorkID)10185876 035 $a(PQKB)11035535 035 $a(DE-He213)978-3-540-34273-1 035 $a(MiAaPQ)EBC3036484 035 $a(MiAaPQ)EBC6350700 035 $z(PPN)258845651 035 $a(PPN)123130255 035 $a(EXLCZ)991000000000282352 100 $a20210210d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aMathematical physics of quantum mechanics $eselected and refereed lectures from QMath9 /$fJoachim Asch, Alain Joye 205 $a1st ed. 2006. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[2006] 210 4$d©2006 215 $a1 online resource (490 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v690 300 $aDescription based upon print version of record. 311 $a3-540-31026-6 320 $aIncludes bibliographic references and index. 327 $aQuantum 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. 330 $aAt the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems. Based on that event, this book offers a selection of outstanding articles written in pedagogical style comprising six sections which cover new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and much more. For postgraduate students, Mathematical Physics of Quantum Systems serves as a useful introduction to the research literature. For more expert researchers, this book will be a concise and modern source of reference. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v690 606 $aMathematical physics$vCongresses 606 $aQuantum theory$vCongresses 615 0$aMathematical physics 615 0$aQuantum theory 676 $a530.120151 702 $aAsch$b Joachim 702 $aJoye$b Alain 712 12$aQMath9 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466685303316 996 $aMathematical physics of quantum mechanics$9722801 997 $aUNISA