3 citations · 5 across the 5 of their papers we have counts for
5 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…
The -boundedness of wave operators for fourth order Schrödinger operators on
Artbazar Galtbayar, Kenji Yajima
We prove that the wave operators of scattering theory for the fourth order Schrödinger operators in are bounded in for the set of…
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…