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A Classical-Quantum Correspondence and Backreaction

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arxiv 1806.05196 v2 pith:HJON2MCI submitted 2018-06-13 hep-th gr-qcquant-ph

A Classical-Quantum Correspondence and Backreaction

classification hep-th gr-qcquant-ph
keywords quantumcorrespondencebackreactionclassical-quantumdynamicsfoundvariableagreement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    The paper presents Linearized Soliton Perturbation Theory (LSPT) as a new Hamiltonian tool for constructing quantum soliton states and computing their perturbative corrections and scattering.

  2. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.