Intermediate Spectral Theory and Quantum Dynamics

By:

Cesar R. de Oliveira

Format:

Hardback

Series:

Progress in Mathematical Physics

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Description

The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. The book places emphasis on the symbiotic relationship of these two domains by (1) presenting the basic mathematics of nonrelativistic quantum mechanics of one particle, i.e., developing the spectral theory of self-adjoint operators in infinite-dimensional Hilbert spaces from the beginning, and (2) giving an overview of many of the basic functional aspects of quantum theory, from its physical principles to the mathematical models. The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and self-adjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics.

Release date NZ

September 30th, 2008

Author

Cesar R. de Oliveira

Audience

Professional & Vocational

Illustrations

XIII, 410 p.

Pages

410

Series

Progress in Mathematical Physics

Dimensions

156x234x23

ISBN-13

9783764387945

Product ID

2700157

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Intermediate Spectral Theory and Quantum Dynamics

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