open access

https://hdl.handle.net/2115/14748

Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics

英語

Fock space

2006

Springer

Letters in Mathematical Physics

77(3)

283-290

A quantum system of a Dirac particle interacting with the quantum radiation field is considered in the case where no external potentials exist. Then the total momentum of the system is conserved and the total Hamiltonian is unitarily equivalent to the direct integral ∫⊕R3 H(p)dp of a family of self-adjoint operators H(p) acting in the Hilbert space ⊕4Frad, where Frad is the Hilbert space of the quantum radiation field. The fibre operator H(p) is called the Hamiltonian of the Dirac polaron with total momentum p ∈ R3. The main result of this paper is concerned with the non-relativistic (scaling) limit of H(p). It is proven that the non-relativistic limit of H(p) yields a self-adjoint extension of a Hamiltonian of a polaron with spin 1/2 in non-relativistic quantum electrodynamics.

学術雑誌論文

Accepted Manuscript

The original publication is available at www.springerlink.com

0377-9017

1573-0530