Intermediate Spectral Theory and Quantum Dynamics (Progress in Mathematical Physics, 54, Band 54) - Hardcover

De Oliveira, César R.

Hardcover

ISBN 10: 3764387947 ISBN 13: 9783764387945

Verlag: Birkhäuser, 2008

Inhaltsangabe

A Glance at Quantum Mechanics.- Linear Operators and Spectra.- Adjoint Operator.- Fourier Transform and Free Hamiltonian.- Operators via Sesquilinear Forms.- Unitary Evolution Groups.- Kato-Rellich Theorem.- Boundary Triples and Self-Adjointness.- Spectral Theorem.- Applications of the Spectral Theorem.- Convergence of Self-Adjoint Operators.- Spectral Decomposition I.- Spectral Decomposition II.- Spectrum and Quantum Dynamics.- Some Quantum Relations.

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Über die Autorin bzw. den Autor

¿Moacir Aloisio is an Adjunct Professor at the Math department of the Federal University of Jequitinhonha and Mucuri Valleys, Brazil. He earned his PhD in mathematics from the Federal University of Minas Gerais, Brazil, in 2019. His research interests lie in Operator Theory, Mathematical Physics, and Dynamical Systems. Some allied areas include Schrödinger and Dirac operators, quantum (in)stability, dynamic localization, abstract differential equations and operator algebras.

Silas L. Carvalho has earned his PhD in Physics at the University of São Paulo, Brazil, in 2010. From 2011 to 2013, he was an Adjunct Professor at the Federal University of São Paulo. Since then, Dr. Carvalho has been serving as an Adjunct Professor at the Math department of the Federal University of Minas Gerais. He develops research in Mathematical Physics, Ergodic Theory and Dynamical Systems, mainly in problems that involve fractal dimensions and measures. Some allied areas include Schrödinger and Dirac operators, quantum dynamics, and stability problems involving $C_0$-semigroups.

César R. de Oliveira is a Full Professor at the Math department of the Federal University of São Carlos, Brazil. His field of research is Mathematical Physics; more specifically, spectral theory of Schrödinger operators, the Aharonov-Bohm effect, and effective operators in systems with reduction of dimensions. He has spent extended research visits at the University of British Columbia, Canada, and Milan University, Italy. Dr. Oliveira has authored three books, including "Intermediate Spectral Theory and Quantum Dynamics" (Birkhäuser, 2009, ISBN 978-3-7643-8794-5).

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3764387947
• ISBN 13: 9783764387945
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 423
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland