Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field

DOI10.1063/1.3317902zbMath1309.81254OpenAlexW2001864155MaRDI QIDQ5246588

Tadayoshi Adachi, Toshiyuki Kimura, Yoshimasa Shimizu

Publication date: 21 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.3317902

zbMATH Keywords

Asymptotic completeness\(N\)-body systemstime periodic electric field

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Motion of charged particles (78A35)

Related Items (2)

On the Mourre estimates for Floquet Hamiltonians ⋮ Scattering in an external electric field asymptotically constant in time

Cites Work

• Existence of solutions for Schrödinger evolution equations
• Wave operators for the Schrödinger equation
• A scattering theory for time-dependent long-range potentials
• Propagation estimates for \(N\)-body Schrödinger operators
• Modified wave operators and Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Scattering theory for Schrödinger equation with potential periodic in time
• Asymptotic completeness for Hamiltonians with time-dependent electric fields
• Two-body short-range systems in a time-periodic electric field
• Spectral theory of time-periodic many-body systems
• Spectral analysis of \(N\)-body Stark Hamiltonians
• Asymptotic completeness for \(N\)-body Stark Hamiltonians
• Asymptotic completeness for long-range many-particle systems with Stark effect. II
• Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field
• Wave operators and similarity for some non-selfadjoint operators
• Stationary scattering theory for time-dependent Hamiltonians
• Mourre theory for time-periodic systems
• Scattering theory for Hamiltonians periodic in time
• Long-range scattering in the position representation
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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