Vector states for single an multiple-pole resonances

DOI10.1007/BF02768925zbMath0958.47048MaRDI QIDQ1381682

Manuel Gadella

Publication date: 18 April 2001

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

\(S\)-matrixquantum mechanicsrigged Hilbert spacesGamow vectorsresonance statesLiouville spacevector statesevolutionary semigroupsgeneralized spectral decompositions of the Hamiltoniankinematical behaviorrigged Liouville space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Eigenfunction expansions and Lippmann-Schwinger formulas ⋮ The Gamow functional

Cites Work

• 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
• Complex dynamical variables for multiparticle systems with analytic interactions. I
• Derivation of Gamow vectors for resonances in cut-off potentials
• A remark on renormalization of the quantum equation of motion for the matrix sigma model
• Rigged Hilbert spaces in quantum mechanics
• A rigged Hilbert space of Hardy-class functions: Applications to resonances
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
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