3 papers
math-ph2026
Elementary commutator method for the Dirac equation with long-range perturbations
Shinichi Arita, Kenichi Ito
We present direct and elementary commutator techniques for the Dirac equation with long-range electric and mass perturbations. The main results are absence of generalized eigenfunc…
math-ph2026
Low energy resolvent estimates for slowly decaying attractive potentials
Kenichi Ito, Tomoya Tagawa
We discuss the low energy resolvent estimates for the Schrödinger operator with slowly decaying attractive potential. The main results are Rellich's theorem, the limiting absorpti…
math.AP2025
Propagation of space-time singularities for perturbed harmonic oscillators
Kenichi Ito, Tomoya Tagawa
We discuss propagation of space-time singularities for the quantum harmonic oscillator with time-dependent metric and potential perturbations. Reformulating the quasi-homogeneous w…