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arXiv · 1402.4473

Algebraic treatment of $\mathcal{PT}$-symmetric coupled oscillators

Francisco M. Fernández
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Abstract

The purpose of this paper is the discussion of a pair of coupled linear oscillators that has recently been proposed as a model of a system of two optical resonators. By means of an algebraic approach we show that the frequencies of the classical and quantum-mechanical interpretations of the optical phenomenon are exactly the same. Consequently, if the classical frequencies are real, then the quantum-mechanical eigenvalues are also real.

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Francisco M. Fernández. 2014-02-17. Algebraic treatment of $\mathcal{PT}$-symmetric coupled oscillators. https://doi.org/10.1007/s10773-014-2201-y

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