Quantum Excitations in Time-Dependent Backgrounds
High Energy Physics - Theory
2013-05-08 v2 Other Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We give a technique for calculating the occupation number of quantum fields in time-dependent backgrounds by using the relation between one-dimensional {\em quantum} oscillators and two-dimensional {\em classical} oscillators. We illustrate our method by giving closed analytical results for the time-dependent spectrum of occupation numbers during gravitational collapse in 3+1 dimensions.
Cite
@article{arxiv.1302.1449,
title = {Quantum Excitations in Time-Dependent Backgrounds},
author = {Matthew Kolopanis and Tanmay Vachaspati},
journal= {arXiv preprint arXiv:1302.1449},
year = {2013}
}
Comments
5 pages; 3 figures. Clarifying remarks added. Version published in PRD