Mourre theory for time-periodic systems
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Publication:3839746
DOI10.1017/S0027763000006607zbMath0916.47038OpenAlexW1531064444MaRDI QIDQ3839746
Publication date: 6 July 1999
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0027763000006607
Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)
Related Items (13)
Spectral theory of time-periodic many-body systems ⋮ Energy-time uncertainty principle and lower bounds on sojourn time ⋮ Floquet operators without singular continuous spectrum ⋮ Commutator methods for unitary operators ⋮ Mourre theory for time-periodic magnetic fields ⋮ Absence of point spectrum for unitary operators ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ On the Mourre estimates for Floquet Hamiltonians ⋮ Exponential decay and resonances in a driven system ⋮ Remarks on Sojourn Time Estimates for Periodic Time-dependent Quantum Systems ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Two-body short-range systems in a time-periodic electric field ⋮ Scattering in an external electric field asymptotically constant in time
Cites Work
- Spectral analysis of N-body Schrödinger operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- A scattering theory for time-dependent long-range potentials
- Sharp propagation estimates for \(N\)-particle systems
- Scattering theory for Schrödinger equation with potential periodic in time
- Asymptotic completeness for 3-particle long-range systems
- Wave operators and similarity for some non-selfadjoint operators
- Scattering theory for Hamiltonians periodic in time
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