Stationary solutions of the Dirac equation for fermions in an external electric field exhibit asymptotic oscillations, absence of bound states in infinite systems, and deconfining behavior when electric coupling exceeds confinement coupling, with MIT bag boundaries enabling finite-system confinement
Pairs Emission in a Uniform Background Field: an Algebraic Approach
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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.
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Stationary States for Fermions in an External Electric Field
Stationary solutions of the Dirac equation for fermions in an external electric field exhibit asymptotic oscillations, absence of bound states in infinite systems, and deconfining behavior when electric coupling exceeds confinement coupling, with MIT bag boundaries enabling finite-system confinement