Sz.-Nagy–Foias theory and Lax–Phillips type semigroups in the description of quantum mechanical resonances

DOI10.1063/1.1849831zbMath1076.47006OpenAlexW1992579532MaRDI QIDQ3024228

Yossef Strauss

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1849831

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (2)-body potential quantum scattering theory (81U05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40)

Related Items

Approximate resonance states in the semigroup decomposition of resonance evolution ⋮ A modified Lax-Phillips scattering theory for quantum mechanics ⋮ Self-adjoint Lyapunov variables, temporal ordering, and irreversible representations of Schrödinger evolution ⋮ Transition representations of quantum evolution with application to scattering resonances ⋮ On the semigroup decomposition of the time evolution of quantum mechanical resonances

Cites Work

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• Time dependent resonance theory
• A time-dependent theory of quantum resonances
• Lower bounds on the number of scattering poles. II
• Resonance expansions of propagators in the presence of potential barriers.
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Representation of quantum mechanical resonances in the Lax–Phillips Hilbert space
• Resonances, scattering theory, and rigged Hilbert spaces
• Complex Scaling and the Distribution of Scattering Poles
• Partial resolvent and spectral concentration
• A perturbation theory of resonances
• Lax–Phillips scattering theory of a relativistic quantum field theoretical Lee–Friedrichs model and Lee–Oehme–Yang–Wu phenomenology
• Nested Hilbert Spaces in Quantum Mechanics. I
• Causality and Analyticity
• Resonance theory for Schrödinger operators