Quantum Excitations in Time-Dependent Backgrounds
classification
✦ hep-th
cond-mat.othergr-qchep-phmath-phmath.MP
keywords
quantumtime-dependentbackgroundsoccupationoscillatorsanalyticalcalculatingclassical
read the original 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.
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