A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors

DOI10.1063/1.531053zbMath0858.46051OpenAlexW2015824566MaRDI QIDQ4873297

Ioannis E. Antoniou, Piotr Kielanowski, Arno R. Bohm

Publication date: 25 March 1997

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

Full work available at URL: https://doi.org/10.1063/1.531053

zbMATH Keywords

irreversibilityscattering experimentsemigroup time evolution of Gamow vectorsunitary one-parameter group of operators

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) One-parameter semigroups and linear evolution equations (47D06) Applications of functional analysis in quantum physics (46N50) Scattering theory of linear operators (47A40)

Related Items (14)

RESONANCE STATES FROM POLES OF THE RELATIVISTIC S-MATRIX ⋮ Time's Arrow and Irreversibility in Time‐Asymmetric Quantum Mechanics ⋮ Non-unitary Evolution of Quantum Logics ⋮ Microphysical irreversibility in quantum mechanics ⋮ Global time asymmetry as a consequence of a wave packets theorem ⋮ Internal time superoperator for quantum systems with diagonal singularity ⋮ Irreversible quantum mechanics in the neutral \(K\)-system ⋮ Scattering and intrinsic irreversibility ⋮ The arrow of time: From universe time-asymmetry to local irreversible processes ⋮ Time evolution of the unstable quantum oscillator ⋮ The dynamical evolution in quantum physics and its semi-group ⋮ Gamow-Jordan vectors and non-reducible density operators from higher-order S-matrix poles ⋮ The Gamow functional ⋮ Extension of the Dynamics of Unstable Systems

Cites Work

• On the generators of quantum dynamical semigroups
• Unified dynamics for microscopic and macroscopic systems
• A description of virtual scattering states in the rigged Hilbert space formulation of quantum mechanics

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