Spectral theory and mathematical physics

• 作者： Conference "Spectral Theory and Mathematical Physics" (2014 : Santiago, Chile)
• 其他作者：
  • Mantoiu, Marius, editor.
  • Raikov, Georgi, editor.
  • Tiedra de Aldecoa, Rafael, editor.
  • SpringerLink (Online service)
• 其他題名：
  • Operator theory: advances and applications ;
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Operator theory: advances and applications,volume 254
• 主題： Spectral theory (Mathematics)--Congresses. , Mathematical physics--Congresses. , Mathematics. , Functional Analysis. , Operator Theory. , Mathematical Physics. , Partial Differential Equations.
• ISBN： 9783319299921 (electronic bk.) 、 9783319299907 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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 Schrodinger operator 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 Schrodinger operators.
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• 摘要註: The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrodinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.
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