Version 1
: Received: 13 February 2024 / Approved: 14 February 2024 / Online: 14 February 2024 (09:40:55 CET)
How to cite:
Stephenson, M.J. Analytic Resonance and Model Harmony in Non-linear Oscillators. Preprints2024, 2024020767. https://doi.org/10.20944/preprints202402.0767.v1
Stephenson, M.J. Analytic Resonance and Model Harmony in Non-linear Oscillators. Preprints 2024, 2024020767. https://doi.org/10.20944/preprints202402.0767.v1
Stephenson, M.J. Analytic Resonance and Model Harmony in Non-linear Oscillators. Preprints2024, 2024020767. https://doi.org/10.20944/preprints202402.0767.v1
APA Style
Stephenson, M.J. (2024). Analytic Resonance and Model Harmony in Non-linear Oscillators. Preprints. https://doi.org/10.20944/preprints202402.0767.v1
Chicago/Turabian Style
Stephenson, M.J. 2024 "Analytic Resonance and Model Harmony in Non-linear Oscillators" Preprints. https://doi.org/10.20944/preprints202402.0767.v1
Abstract
Oscillons, fundamental to various physical domains, are examined in-depth in this paper. From Josephson junctions in superconducting circuits to classical and quantum field theories, oscillators reveal profound insights into diverse phenomena. The study primarily focuses on oscillons, distinctive field configurations with enduring localization, establishing intriguing connections with well-known models like the Sine-Gordon breather. Surprising parallels in the weak coupling limit illuminate the rich dynamics of oscillators. A semi-classical quantization method, discretizing the field into spatially homogeneous regions, exposes stability angles, providing insights into the quantum nature of oscillons. The application of this quantization framework to specific cases, including the Sine-Gordon breather, showcases its versatility. The results offer a comprehensive perspective on the quantization of oscillons, unraveling the intricate interplay between classical and quantum dynamics. In conclusion, this paper provides a profound exploration of quantum oscillators, unveiling novel connections and presenting a rigorous quantization framework. The gained insights contribute significantly to the broader understanding of oscillatory systems and their pivotal role in diverse physical phenomena.
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.
