Generalized definition of time delay in scattering theory

DOI10.1063/1.2816255zbMath1153.81365arXivmath-ph/0609044OpenAlexW2058758282MaRDI QIDQ3544535

Christian Gérard, Rafael Tiedra de Aldecoa

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0609044

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (8)

TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY ⋮ The scattering matrix and associated formulas in Hamiltonian mechanics ⋮ Time delay is a common feature of quantum scattering theory ⋮ TIME DELAY AND CALABI INVARIANT IN CLASSICAL SCATTERING THEORY ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Quantum time delay for unitary operators: General theory ⋮ Anisotropic Lavine's formula and symmetrised time delay in scattering theory ⋮ A New Formula Relating Localisation Operators to Time Operators

Cites Work

• Time delay and short-range scattering in quantum waveguides
• Non-relativistic quantum dynamics
• Time-delay in potential scattering theory. Some geometric results
• Mapping properties of wave and scattering operators for two-body Schrödinger operators
• Lifetime Matrix in Collision Theory
• Time delay and resonances in potential scattering

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