Physical state for non-relativistic quantum electrodynamics

TL;DR

This paper constructs a physical subspace and Hamiltonian for non-relativistic quantum electrodynamics using the Gupta-Bleuler method, demonstrating asymptotic completeness and providing a rigorous framework for the theory.

Contribution

It introduces a new construction of the physical Hilbert space and Hamiltonian in non-relativistic QED, ensuring asymptotic completeness.

Findings

Successful construction of the physical subspace and Hamiltonian.

Proof of asymptotic completeness in the non-relativistic QED framework.

Establishment of a rigorous mathematical foundation for the physical states.

Abstract

A physical subspace and physical Hilbert space associated with asymptotic fields of nonrelativistic quantum electrodynamics are constructed through the Gupta-Bleuler procedure. Asymptotic completeness is shown and a physical Hamiltonian is defined on the physical Hilbert space.