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Dirac Kets, Gamow Vectors and Gel’fand Triplets

The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the University of Texas at Austin

Arno Bohm author Manuel Gadella author Arno Bohm editor JD Dollard editor

Format:Paperback

Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Published:23rd Aug '14

Currently unavailable, and unfortunately no date known when it will be back

Dirac Kets, Gamow Vectors and Gel’fand Triplets cover

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The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Applications are given to physical theories of such phenomena as decaying states and resonances.Dirac's formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel'fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances.

ISBN: 9783662137512

Dimensions: unknown

Weight: 242g

120 pages

Softcover reprint of the original 1st ed. 1989