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Classical harmonic oscillator with Dirac-like parameters and possible applications

H. C. Rosu·O. Cornejo-Perez·R. Lopez-Sandoval
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Abstract

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

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H. C. Rosu, O. Cornejo-Perez, R. Lopez-Sandoval. 2004-10-13. Classical harmonic oscillator with Dirac-like parameters and possible applications. https://doi.org/10.1088/0305-4470/37/48/011

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