Quantum Excitations in Time-Dependent Backgrounds

Matthew Kolopanis; Tanmay Vachaspati

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Quantum Excitations in Time-Dependent Backgrounds

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arxiv 1302.1449 v2 pith:4OCIZH35 submitted 2013-02-06 hep-th cond-mat.othergr-qchep-phmath-phmath.MP

Matthew Kolopanis , Tanmay Vachaspati This is my paper

classification hep-thcond-mat.othergr-qchep-phmath-phmath.MP

keywords quantumtime-dependentbackgroundsoccupationoscillatorsanalyticalcalculatingclassical

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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.

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