A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics

Fuente: arXiv
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Autore principale: Matsuzawa, Yasumichi
Natura: Preprint
Pubblicazione: 2026
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author Matsuzawa, Yasumichi
author_facet Matsuzawa, Yasumichi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22316
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics
Matsuzawa, Yasumichi
Mathematical Physics
81Q10
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.
title A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics
topic Mathematical Physics
81Q10
url https://arxiv.org/abs/2604.22316