English

Classical harmonic oscillator with quantum energy spectrum

Quantum Physics 2011-05-27 v1

Abstract

The classical dynamical system possessing a quantum spectrum of energy and "quantum" behavior is suggested and investigated. The proposed model can be considered as a dynamical variant of the old quantum theory for harmonic oscillator in which the Bohr-Sommerfeld quantization rule is absent and "quantum-mechanical" properties are the result of system behavior itself. For this dynamical system the classical model of Franck-Hertz experiment which allows explaining the experimentally observed regularities is suggested and investigated. The examples of calculations of Franck-Hertz experiment of within the limits of the suggested model of classical dynamical system are presented.

Keywords

Cite

@article{arxiv.1105.5339,
  title  = {Classical harmonic oscillator with quantum energy spectrum},
  author = {Sergey A. Rashkovskiy},
  journal= {arXiv preprint arXiv:1105.5339},
  year   = {2011}
}

Comments

19 pages, 16 figures

R2 v1 2026-06-21T18:13:10.587Z