On the semigroup decomposition of the time evolution of quantum mechanical resonances

DOI10.1063/1.2070067zbMath1111.81149OpenAlexW2035933026MaRDI QIDQ3438614

Yossef Strauss

Publication date: 16 May 2007

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

Full work available at URL: https://semanticscholar.org/paper/ff5d4041e4071ef5453c4f93b1404806212b46e5

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40) Applications of operator theory to differential and integral equations (47N20) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40)

Related Items (4)

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

Cites Work

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• Stark effect in Lax-Phillips scattering theory
• Representation of quantum mechanical resonances in the Lax–Phillips Hilbert space
• Sz.-Nagy–Foias theory and Lax–Phillips type semigroups in the description of quantum mechanical 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

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