Extending the stationary quantum mechanics of being to a nonstationary quantum theory of becoming and decaying

DOI10.1016/S0898-1221(97)00149-1zbMath0901.46064MaRDI QIDQ1381873

M. Gedella, Steve Maxson, Arno R. Bohm

Publication date: 29 November 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

rigged Hilbert spacesarrow of timeGamow vectors\(S\)-matrix theoryDirac formalism of quantum mechanicsGel'fand triplets

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20) Applications of functional analysis in quantum physics (46N50) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Eigenfunction expansions and Lippmann-Schwinger formulas ⋮ The Friedrichs model and its use in resonance phenomena

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard
• Rigged Hilbert spaces in quantum mechanics
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Irreducible unitary representations of the Lorentz group
• A Theory of Clothed Unstable Particles
• Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals
• Classical Electrodynamics in Terms of Direct Interparticle Action
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