A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics
Mathematical Physics
2026-04-27 v1 math.MP
Abstract
We present a direct derivation of Arai's effective Hamiltonian in non-relativistic quantum electrodynamics without relying on the scaling limit. Our result applies to a broader class of potentials, including the Rollnik class and confining potentials such as the harmonic potential.
Keywords
Cite
@article{arxiv.2604.22316,
title = {A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics},
author = {Yasumichi Matsuzawa},
journal= {arXiv preprint arXiv:2604.22316},
year = {2026}
}
Comments
11 pages. Comments are welcome