Physical review

Electron-positron pair production in spatially and temporally inhomogeneous\nelectric and magnetic fields is studied within the Dirac-Heisenberg-Wigner\nformalism (quantum kinetic theory) through computing the corresponding Wigner\nfunctions. The focus is on discussing the particle momentum spectrum regarding\nsignatures of Schwinger and multiphoton pair production. Special emphasis is\nput on studying the impact of a strong dynamical magnetic field on the particle\ndistribution functions. As the equal-time Wigner approach is formulated in\nterms of partial integro-differential equations an entire section of the\nmanuscript is dedicated to present numerical solution techniques applicable to\nWigner function approaches in general.\n

Effect of time-dependent inhomogeneous magnetic fields on the particle momentum spectrum in electron-positron pair production