Intermediate Spectral Theory and Quantum Dynamics (Progress in Mathematical Physics) César R. de Oliveira -

“The aim of Intermediate Spectral Theory and Quantum Dynamics is to provide advanced undergraduate and graduate students with this understanding of the mathematical intricacies of non-relativistic quantum mechanics of a single particle.a concise introduction to the spectral theory of unbounded operators. ends with a comprehensive bibliography which contains references to the original literature and further reading and an extensive index of the material. Intermediate Spectral Theory and Quantum Dynamics. Authors view affiliations César R. de Oliveira; Book. 41 Citations; 13k Downloads; Part of the Progress in Mathematical Physics book series PMP, volume 54 Log in to check access. Buy eBook. USD 129.00 Instant download. César R. de Oliveira Intermediate Spectral Theory and Quantum Dynamics Birkhäuser Basel · Boston · Berlin Author: César R. de Oliveira Department of Mathematics Federal University of São Carlos UFSCar São Carlos, SP 13560-970 Brazil e-mail: [email protected] 2000 Mathematics Subject Classification: 00-01, 81Q10, 47A05, 47A07, 47B25. César R. de Oliveira 2009 - Intermediate Spectral Theory and Quantum Dynamics In English Go to ISTQD book page. Published by Birkhäuser, Basel, Switzerland, volume 54 in the series Progress in Mathematical Physics 410 pages; ISBN 978-3-7643-8794-5. Errata of the book Intermediate Spectral Theory and Quantum Dynamics, Progress in Mathematical Physics 54, Birkhauser, Basel, 2008, by Cesar R. de Oliveira. 1 Errata of the book Intermediate Spectral Theory and Quantum Dynamics, Progress in Mathematical Physics 54, Birkhauser.

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the. Abstract. Different spectral subspaces of a self-adjoint operator T in general entail different behaviors of the unitary evolution group e −itT particularly as t→∞. In this chapter many such dynamical issues are discussed; the main motivation is when T corresponds to the Schrödinger operator of a quantum system. Some related physical concepts, such as quantum return probability and. tum mechanics spectral theory with applications to Schr odinger operators. The rst part cov-ers mathematical foundations of quantum mechanics from self-adjointness, the spectral theorem, quantum dynamics including Stone’s and the RAGE theorem to perturbation theory for self-adjoint operators.

Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University woit@math. This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory feat. Mar 19, 2015 · Abstract: Quasi-periodic Schr\"odinger-type operators naturally arise in solid state physics, describing the influence of an external magnetic field on the electrons of a crystal. In the late 1970s, numerical studies for the most prominent model, the almost Mathieu operator AMO, produced the first example of a fractal in physics known as "Hofstadter's butterfly," marking the starting point.

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