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020 _a9783540342731
_9978-3-540-34273-1
024 7 _a10.1007/b11573432
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
245 1 0 _aMathematical Physics of Quantum Mechanics
_h[electronic resource] :
_bSelected and Refereed Lectures from QMath9 /
_cedited by Joachim Asch, Alain Joye.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXXI, 462 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v690
505 0 _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.
520 _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.
650 0 _aMathematical physics.
650 0 _aQuantum theory.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aAsch, Joachim.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aJoye, Alain.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540819271
776 0 8 _iPrinted edition:
_z9783540310266
776 0 8 _iPrinted edition:
_z9783642421570
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v690
856 4 0 _uhttps://doi.org/10.1007/b11573432
912 _aZDB-2-PHA
912 _aZDB-2-LNP
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