Integration of the Tomonaga-Schwinger equation
Abstract
Some integrations of the Tomonaga-Schwinger equation with a non-local interaction are studied with mathematical rigor. It is proved that the related initial value problem has a unique solution in any finite region of the space-time corresponding to each set of space-like surfaces which covers the region. Such an analysis can be extended to the case of quantum electrodynamics by the aid of a Lorentz-invariant topology introduced in the *-algebra of electromagnetic field operators.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- February 1976
- DOI:
- 10.1007/BF01608555
- Bibcode:
- 1976CMaPh..50...61W