Algebraic Treatment of PT-Symmetric Coupled Oscillators

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 quantum-mechanical interpretation of the optical phenomenon are...

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Detalles Bibliográficos
Autor: Fernández, Francisco Marcelo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/5146
Acceso en línea:http://hdl.handle.net/11336/5146
Access Level:acceso abierto
Palabra clave:Pt Symmetry
Coupled Oscillators
Gain And Loss
Pt Transitions
https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
Descripción
Sumario: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 quantum-mechanical interpretation of the optical phenomenon are linear combinations of the classical frequencies. Consequently, if the classical frequencies are real, then the quantum-mechanical eigenvalues are also real.