Pairs Emission in a Uniform Background Field: an Algebraic Approach
arXiv:1104.0468 · doi:10.1088/1751-8113/44/30/305401
Abstract
A fully algebraic general approach is developed to treat the pairs emission and absorption in the presence of some uniform external background field. In particular, it is shown that the pairs production and annihilation operators, together with the pairs number operator, do actually fulfill the SU(2) functional Lie algebra. As an example of application, the celebrated Schwinger formula is consistently and nicely recovered, within this novel approach, for a Dirac spinor field in the presence of a constant and homogeneous electric field in four spacetime dimensions.
26 pages, no figures
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Cited by in corpus (6)
- Entanglement Generation by Electric Field Background
- QED Effective Actions in Space-Dependent Gauge and Electromagnetic Duality
- On Schwinger's formula for pair production
- Electron-Positron Pair Production in Structured Pulses of Electric Fields
- Stationary States for Fermions in an External Electric Field
- Parity Breaking Medium and Squeeze Operators