Approximate resonance states in the semigroup decomposition of resonance evolution

DOI10.1063/1.2383069zbMath1112.47007arXivquant-ph/0612027OpenAlexW3104846324MaRDI QIDQ3442139

A. Volovick, Yossef Strauss, Lawrence P. Horwitz

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0612027

zbMATH Keywords

scattering resonancecontractive semigroupsHilbert space statetime evolution of resonances

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in the physical sciences (47N50) Scattering theory of linear operators (47A40) Quantum scattering theory (81Uxx)

Related Items (7)

Transition decomposition of quantum mechanical evolution ⋮ The Marvelous Consequences of Hardy Spaces in Quantum Physics ⋮ A modified Lax-Phillips scattering theory for quantum mechanics ⋮ Self-adjoint Lyapunov variables, temporal ordering, and irreversible representations of Schrödinger evolution ⋮ Resonances of quantum mechanical scattering systems and Lax–Phillips scattering theory ⋮ Transition representations of quantum evolution with application to scattering resonances ⋮ The rigged Hilbert space approach to the Gamow states

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