Fermionic and bosonic pair creation in an external electric field at finite temperature using the functional Schr\"odinger representation
High Energy Physics - Theory
2009-10-28 v2 High Energy Physics - Phenomenology
Abstract
We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their distribution in momentum space is found for finite times. Furthermore, we calculate the probability of finding a given number of particles in the ensemble. In all cases, there is a nonvanishing thermal contribution. The bosonic and the fermionic density matrices are expressed in a "functional field basis". This constitutes an extension of the "field basis" concept to fermions.
Keywords
Cite
@article{arxiv.hep-th/9412188,
title = {Fermionic and bosonic pair creation in an external electric field at finite temperature using the functional Schr\"odinger representation},
author = {Joakim Hallin and Per Liljenberg},
journal= {arXiv preprint arXiv:hep-th/9412188},
year = {2009}
}
Comments
28 pages, latex, uses psfig and epsf, 4 figures included, minor changes