Version 1
: Received: 30 November 2023 / Approved: 18 December 2023 / Online: 19 December 2023 (09:19:51 CET)
How to cite:
Petrosky, T.; Goto, Y.; Garmon, S. Radiation Damping Treated by Classicalization of Quantum Mechanics—Theoretical Issue of Cyclotron Radiation. Preprints2023, 2023121381. https://doi.org/10.20944/preprints202312.1381.v1
Petrosky, T.; Goto, Y.; Garmon, S. Radiation Damping Treated by Classicalization of Quantum Mechanics—Theoretical Issue of Cyclotron Radiation. Preprints 2023, 2023121381. https://doi.org/10.20944/preprints202312.1381.v1
Petrosky, T.; Goto, Y.; Garmon, S. Radiation Damping Treated by Classicalization of Quantum Mechanics—Theoretical Issue of Cyclotron Radiation. Preprints2023, 2023121381. https://doi.org/10.20944/preprints202312.1381.v1
APA Style
Petrosky, T., Goto, Y., & Garmon, S. (2023). Radiation Damping Treated by Classicalization of Quantum Mechanics—Theoretical Issue of Cyclotron Radiation. Preprints. https://doi.org/10.20944/preprints202312.1381.v1
Chicago/Turabian Style
Petrosky, T., Yuki Goto and Savannah Garmon. 2023 "Radiation Damping Treated by Classicalization of Quantum Mechanics—Theoretical Issue of Cyclotron Radiation" Preprints. https://doi.org/10.20944/preprints202312.1381.v1
Abstract
In this paper, we review a new treatment of classical radiation damping, which resolves a well-known contradiction in the Abraham-Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the method introduced by Friedrichs. Based on Friedrichs’ treatment, we solved this long-standing problem by classicizing quantum mechanics by replacing the canonical commutation relation in quantum mechanics with the Poisson bracket relation in classical mechanics. As an application of our new approach, we will analyze the anomalous damping experienced by electrons undergoing cyclotron motion inside a waveguide near the cut-off frequency. This anomalous damping cannot be described using the existing Abraham-Lorentz equation.
Keywords
Classical radiation damping; Resonance singularity; Non-Hilbert space; The Abraham-Lorentz equation; Classicalization of quantum mechanics; Cyclotron motion; Waveguide; Classical Van Hove singularly; Anomalous damping
Subject
Physical Sciences, Optics and Photonics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
