02-36 Asao Arai
Non-relativistic Limit of a Dirac-Maxwell Operator in Relativistic Quantum Electrodynamics (66K, LaTeX 2.09) Jan 25, 02
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Abstract. The non-relativistic (scaling) limit of a particle-field Hamiltonian $H$, called a Dirac-Maxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the non-relativistic limit of $H$ yields a self-adjoint extension of the Pauli-Fierz Hamiltonian with spin $1/2$ in non-relativistic quantum electrodynamics. This is done by establishing in an abstract framework a general limit theorem on a family of self-adjoint operators partially formed out of strongly anticommuting self-adjoint operators and then by applying it to $H$.

Files: 02-36.tex