Algebraic treatment of PT-symmetric coupled oscillators

Francisco M. Fernández

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.

http://arxiv.org/abs/1402.4473
Quantum Physics (quant-ph)

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