Spectral Theory and Mathematical Physics
Springer International Publishing (Verlag)
978-3-319-80701-0 (ISBN)
It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.
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.
Erscheinungsdatum | 05.03.2022 |
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Reihe/Serie | Operator Theory: Advances and Applications |
Zusatzinfo | VIII, 255 p. 9 illus., 3 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 4044 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie | |
Schlagworte | ergodic quantum Hamiltonians • magnetic Schrödinger operators • Partial differential equations • quantum field theory • scattering theory • semiclassical and microlocal analysis • spectral shift function and quantum resonances |
ISBN-10 | 3-319-80701-3 / 3319807013 |
ISBN-13 | 978-3-319-80701-0 / 9783319807010 |
Zustand | Neuware |
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