Decaying states and the rigged Hilbert space formulation of quantum mechanics

DOI10.1016/0378-4371(84)90230-9zbMath0598.47019OpenAlexW2071423756MaRDI QIDQ1079792

Arno R. Bohm

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90230-9

zbMATH Keywords

generalized eigenvectorsdecaying statesexponential time developmentrigged Hilbert space formulationsecond sheet S-matrix poles

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Resonances and the extension of dynamics to rigged Hilbert spaces, Deducing the Schrödinger equation from minimum \(\chi{}^ 2\), A mathematical interpretation of Dirac's formalism; Part A: Dirac bases in trajectory spaces, The connection between the rigged Hilbert space and the complex scaling approaches for resonances. The Friedrichs model

Cites Work

• Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space and quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin
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