Spectral Theory and Mathematical Physics

Häftad, Engelska, 2018

AvMarius Mantoiu,Georgi Raikov,Rafael Tiedra de Aldecoa,Rafael Tiedra De Aldecoa

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Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances.

Produktinformation

Utgivningsdatum2018-06-07
Mått155 x 235 x 15 mm
Vikt406 g
FormatHäftad
SpråkEngelska
SerieOperator Theory: Advances and Applications
Antal sidor255
FörlagBirkhauser Verlag AG
ISBN9783319807010

Tillhör följande kategorier

Preface.- Lower bounds for sojourn time in a simple shape resonance model.- Spectral properties for Hamiltonians of weak interactions.- Magnetic Laplacian in sharp three-dimensional cones.- Spectral clusters for magnetic exterior problems.- The spectral shift function and the Witten index.- Stahl’s theorem (aka BMV conjecture): insights and intuition on its proof.- Some estimates regarding integrated density of states for random Schrödingeroperator with decaying random potentials.- Boundary values of resolvents of self-adjoint operators in Krein spaces and applications to the Klein-Gordon equation.- Levinson’s theorem: an index theorem in scattering theory.- Counting function of magnetic resonances for non-definite sign perturbations.- Harmonic analysis and random Schrödinger operators.