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.

Dirac Kets, Gamow Vectors and Gel’fand Triplets: The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the ... of Texas at Austin (Lecture Notes in Physics)

Science & Math

Manuel Gadella Arno Bohm

Manuel Gadella

Mathematics

Springer

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Books by Manuel Gadella Arno Bohm

See the best price to sell, buy, or rent books by Manuel Gadella Arno Bohm. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Dirac Kets, Gamow Vectors and Gel’fand Triplets: The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the ... of Texas at Austin (Lecture Notes in Physics)