Two-body short-range systems in a time-periodic electric field

DOI10.1215/S0012-7094-00-10517-0zbMath1010.81083OpenAlexW1530838159MaRDI QIDQ1847775

Jacob Schach Møller

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10517-0

zbMATH Keywords

short-range potentialabsence of singular continuous spectrumFloquet Hamiltonian\(\nu\)-dimensional particlesno bound states

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (11)

Spectral theory of time-periodic many-body systems ⋮ Quantum scattering in a periodically pulsed magnetic field ⋮ Mourre theory for time-periodic magnetic fields ⋮ Trace formulas for time periodic complex Hamiltonians on lattice ⋮ Klein-Gordon equations with homogeneous time-dependent electric fields ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ On the dipole approximation with error estimates ⋮ On the Mourre estimates for Floquet Hamiltonians ⋮ Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Scattering in an external electric field asymptotically constant in time

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