A CONVERGENT PERTURBATION EXPANSION IN FIRST-QUANTIZED ELECTRODYNAMICS
It is shown that a real physical problem exists which, when calculated in first-quantized electrodynamics, possesses a convergent perturbation expansion. The result is demonstrated by proving the analyticity, in a region of nonzero radius about the origin in the complex couplingconstant plane, of the transition probability for pair creation by two electromagnetic fields. Some singularities in the complex plane are located, which limit the radius of convergence only for a discrete set of values for the energies of the electromagnetic fields that define the problem. (auth)
- Research Organization:
- Naval Ordnance Lab., Silver Springs, Md.; and Univ. of Maryland, College Park
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-022763
- OSTI ID:
- 4811850
- Journal Information:
- J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 3
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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