Quantum Excitations in Time-Dependent Backgrounds
Matthew Kolopanis, Tanmay Vachaspati
TL;DR
This paper introduces a method to compute quantum field occupation numbers in dynamic backgrounds by linking quantum oscillators to classical ones, demonstrated through gravitational collapse scenarios.
Contribution
It presents a novel technique connecting quantum and classical oscillators to analyze quantum excitations in time-dependent backgrounds.
Findings
Derived analytical expressions for occupation numbers during gravitational collapse
Established a new method for quantum field analysis in dynamic spacetimes
Validated the approach with explicit examples in 3+1 dimensions
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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