Ionization for three dimensional time-dependent point interactions

DOI10.1007/s00220-005-1293-xzbMath1079.81014arXivmath-ph/0402011OpenAlexW3105887881MaRDI QIDQ2575346

Gianfausto Dell'Antonio, Andrea Mantile, Michele Correggi, Rodolfo Figari

Publication date: 9 December 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0402011

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum scattering theory (81U99)

Related Items

The point-like limit for a NLS equation with concentrated nonlinearity in dimension three ⋮ A general Trotter--Kato formula for a class of evolution operators ⋮ The quantum beating and its numerical simulation ⋮ On the atomic photoeffect in non-relativistic QED ⋮ Complete ionization for a non-autonomous point interaction model in \(\mathrm{d}=2\) ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ A time-dependent metric graph with a fourth-order operator on the edges ⋮ Classical and quantum wave dynamics on time-dependent geometric graph ⋮ Point interaction controls for the energy transfer in 3-D quantum systems ⋮ Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity ⋮ Time-dependent delta-interactions for 1D Schrödinger Hamiltonians ⋮ Emergence of Time-Dependent Point Interactions in Polaron Models ⋮ IONIZATION IN A 1-DIMENSIONAL DIPOLE MODEL

Cites Work

• The evolution operator for time-dependent potentials of zero radius
• Rotating singular perturbations of the Laplacian
• Scattering theory for Hamiltonians periodic in time
• Decay versus survival of a localized state subjected to harmonic forcing: exact results
• Exact results for the ionization of a model quantum system
• Evolution of a model quantum system under time periodic forcing: conditions for complete ionization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item