Scattering theory for Schrödinger equation with potential periodic in time
From MaRDI portal
Publication:1237934
DOI10.2969/jmsj/02940729zbMath0356.47010OpenAlexW2057397553MaRDI QIDQ1237934
Publication date: 1977
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/02940729
Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)
Related Items (60)
Spectral theory of time-periodic many-body systems ⋮ Upper quantum Lyapunov exponent and Anosov relations for quantum systems driven by a classical flow ⋮ Dynamical localization for unitary Anderson models ⋮ Quantum scattering in a periodically pulsed magnetic field ⋮ Unnamed Item ⋮ Absence of absolutely continuous spectrum of Floquet operators ⋮ Integral kernels of the scattering matrices for time-periodic Schrödinger equations ⋮ The quantum stability problem for some class of time-dependent Hamiltonians ⋮ Stability of oscillators driven by ergodic processes ⋮ Unnamed Item ⋮ Floquet Hamiltonians with pure point spectrum ⋮ Unnamed Item ⋮ Cyclic thermodynamic processes and entropy production ⋮ Anderson localization for periodically driven systems ⋮ On the absolutely continuous subspaces of Floquet operators ⋮ Unnamed Item ⋮ Mourre theory for time-periodic magnetic fields ⋮ A multi-channel scattering theory for some time dependent Hamiltonians, charge transfer problem ⋮ Instability of pre-existing resonances under a small constant electric field ⋮ On the unitarity of the wave operators for AC-Stark Hamiltonians ⋮ Trace formulas for time periodic complex Hamiltonians on lattice ⋮ Wave operators for the Schrödinger equation ⋮ Conditions for the unitarity of wave operators under a scattering by a nonstationary potential ⋮ A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux ⋮ Probability of convergence of perturbation theory for hydrogen photoionization ⋮ ON THE STABILITY OF PERIODICALLY TIME-DEPENDENT QUANTUM SYSTEMS ⋮ Almost periodic orbits and stability for quantum time-dependent Hamiltonians ⋮ On decay-nondecay and scattering for Schrödinger equations with time dependent complex potentials ⋮ Absence of point spectrum for unitary operators ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ Mourre theory for time-periodic systems ⋮ On the Mourre estimates for Floquet Hamiltonians ⋮ Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size ⋮ Periodic driving at high frequencies of an impurity in the isotropic XY chain ⋮ Unnamed Item ⋮ Scattering for the Klein-Gordon equations with time-dependent potentials ⋮ Diffusion of power in randomly perturbed Hamiltonian partial differential equations ⋮ WEAKLY REGULAR FLOQUET HAMILTONIANS WITH PURE POINT SPECTRUM ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An overview of periodic elliptic operators ⋮ On fermionic walkers interacting with a correlated structured environment ⋮ Space-time scattering for the Schrödinger equation ⋮ Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields ⋮ Unnamed Item ⋮ Strichartz estimates for quadratic repulsive potentials ⋮ Spectrum of the monodromy operator of the Schrödinger operator with a potential which is periodic with respect to time ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Solution of the Cauchy problem for a time-dependent Schrödinger equation ⋮ Scattering problem for a slowly decreasing potential that is periodically dependent on time ⋮ Two-body short-range systems in a time-periodic electric field ⋮ A note on time dependent scattering theory for \(p^ 2_ 1-p^ 2_ 2+(1+| Q|)^{-1-\epsilon}\) and \(p_ 1p_ 2+(1+| Q|)^{-1-\epsilon}\) on \(L^ 2(R^ 2)\) ⋮ Resonances for the AC-Stark effect ⋮ Exterior complex scaling and the AC-Stark effect in a Coulomb field ⋮ Parametric resonance of ground states in the nonlinear Schrödinger equation ⋮ Some quantum operators with discrete spectrum but classically continuous spectrum ⋮ Energy transfer in scattering by rotating potentials ⋮ Spectral properties of a simple Hamiltonian model ⋮ Scattering in an external electric field asymptotically constant in time ⋮ On the Schrödinger equation with time-dependent electric fields
This page was built for publication: Scattering theory for Schrödinger equation with potential periodic in time