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Item Details
Title: PERTURBATION OF SPECTRA IN HILBERT SPACE
By: Kurt Otto Friedrichs
Format: Paperback

List price: £45.95


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0821846825
ISBN 13: 9780821846827
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 June, 2008
Series: Lectures in Applied Mathematics v. 3
Pages: 178
Description: The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Based on the author's 1960 lectures in Boulder, this title looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory.
Synopsis: The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Perturbation theory remains an important element of quantum mechanics. Computationally, it is one of the most successful methods available. However, various features of field theory produce difficulties with the perturbative approach. Here, Friedrichs assumes certain smoothness of the interaction Hamiltonian, which eliminates divergence of the terms in the perturbation expansion, but, as a consequence, forces him to give up the possibility of a local Lorentz-invariant interaction.In this book based on his 1960 lectures in Boulder, Friedrichs looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory. The lectures begin with an introduction to perturbation theory of discrete and continuous spectra and the theory of scattering. These methods are then applied to perturbations by annihilation and creation operators.Each of the three chapters has a corresponding appendix, where Friedrichs discusses some alternative approaches and additional material relating to the main text.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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