4 papers
The -boundedness of wave operators for 4-th order Schrödinger operators on , I. Regular case
Artbazar Galtbayar, Kenji Yajima
We prove that wave operators of scattering theory for fourth order Schrödinger operators on with real potentials such that $\langle x \rangl…
Non-relativistic Pauli--Fierz Hamiltonian for less than two photons
D. Dayantsolmon, A. Galtbayar
We consider the Pauli--Fierz model, which describes a particle (an electron) coupled to the quantized electromagnetic field and limit the number of photons to less than 2. By compu…
A solvable model of the breakdown of the adiabatic approximation
Artbazar Galtbayar, Arne Jensen, Kenji Yajima
Let and . Consider the following time-dependent family of Schrödinger equations with scaled and translated harmonic oscillator potentials $ i\varep…
On the approximation by regular potentials of Schrödinger operators with point interactions
Artbazar Galtbayar, Kenji Yajima
We prove that the wave operators for Schrödinger operators with multi-center local point interactions are the scaling limits of the ones for Schrödinger operators with regular pote…