Classical harmonic oscillator with Dirac-like parameters and possible applications
摘要
We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the "supersymmetric" one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schroedinger equations in particle physics. When a single coupling parameter, denoted by K, is used, it characterizes both the damping and the dissipative features of these modes. Generalizations to several K parameters are also possible and lead to analytical results. If the problem is passed to the physical optics (and/or acoustics) context by switching from the oscillator equation to the corresponding Helmholtz equation, one may hope to detect the K-modes as waveguide modes of specially designed waveguides and/or cavities
关键词
引用
@article{arxiv.math-ph/0402065,
title = {Classical harmonic oscillator with Dirac-like parameters and possible applications},
author = {H. C. Rosu and O. Cornejo-Perez and R. Lopez-Sandoval},
journal= {arXiv preprint arXiv:math-ph/0402065},
year = {2009}
}
备注
14 pages, 9 figures, revised, accepted at J. Phys. A