Stopping to Reflect: Asymptotic Static Moving Mirrors as Quantum Analogs of Classical Radiation

• URL: http://arxiv.org/abs/2303.02600v1
• Date: Sun, 5 Mar 2023 07:58:18 GMT
• Title: Stopping to Reflect: Asymptotic Static Moving Mirrors as Quantum Analogs of Classical Radiation
• Authors: Michael R.R. Good and Eric V. Linder
• Abstract summary: We present two exactly soluble electron trajectories that permit analysis of the radiation emitted. One of them has an interesting connection to uniform acceleration and Leonardo da Vinci's water pitcher experiment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Radiation from an accelerating charge is a basic process that can serve as an intersection between classical and quantum physics. We present two exactly soluble electron trajectories that permit analysis of the radiation emitted, exploring its time evolution and spectrum by analogy with the moving mirror model of the dynamic Casimir effect. These classical solutions are finite energy, rectilinear (nonperiodic), asymptotically zero velocity worldlines with corresponding quantum analog beta Bogolyubov coefficients. One of them has an interesting connection to uniform acceleration and Leonardo da Vinci's water pitcher experiment.

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