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Spectral theory and mathematical physics

Mantoiu, Marius.

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Spectral theory and mathematical physics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spectral theory and mathematical physics/ edited by Marius Mantoiu, Georgi Raikov, Rafael Tiedra de Aldecoa.
其他作者:	Mantoiu, Marius.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	viii, 255 p. :ill. (some col.), digital ;24 cm.
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.
Contained By:	Springer eBooks
標題:	Spectral theory (Mathematics) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-29992-1
ISBN:	9783319299921

Spectral theory and mathematical physics
Spectral theory and mathematical physics[electronic resource] /edited by Marius Mantoiu, Georgi Raikov, Rafael Tiedra de Aldecoa. - Cham :Springer International Publishing :2016. - viii, 255 p. :ill. (some col.), digital ;24 cm. - Operator theory: advances and applications,v.2540255-0156 ;. - Operator theory: advances and applications ;v. 189..

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.

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.

ISBN: 9783319299921

Standard No.: 10.1007/978-3-319-29992-1doiSubjects--Topical Terms:

524915
Spectral theory (Mathematics)

LC Class. No.: QC20.7.S64

Dewey Class. No.: 515.7222

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520 $a 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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