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arXiv · 1806.05196

A Classical-Quantum Correspondence and Backreaction

Tanmay Vachaspati·George Zahariade
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Abstract

We work in the Heisenberg picture to demonstrate the classical-quantum correspondence (CQC) in which the dynamics of a quantum variable is equivalent to that of a complexified classical variable. The correspondence provides a tool for analyzing quantum backreaction problems which we illustrate by a toy model in which a rolling particle slows down due to quantum radiation. The dynamics found using the CQC is in excellent agreement with that found using the much more laborious full quantum analysis.

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Tanmay Vachaspati, George Zahariade. 2018-10-20. A Classical-Quantum Correspondence and Backreaction. https://doi.org/10.1103/physrevd.98.065002

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