δ-δ’ generalized Robin boundary conditions and quantum vacuum fluctuations

[EN]The effects induced by the quantum vacuum fluctuations of one massless real scalar field on a configuration of two partially transparent plates are investigated. The physical properties of the infinitely thin plates are simulated by means of Dirac-$\delta-\delta^\prime$ point interactions. It is...

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Detalhes bibliográficos
Autores: Muñoz-Castañeda, Jose María, Mateos Guilarte, Juan María
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/133151
Acesso em linha:http://hdl.handle.net/10366/133151
https://dx.doi.org/10.1103/PhysRevD.91.025028
Access Level:acceso abierto
Palavra-chave:Mathematical physics
High Energy Physics
Theory
Mathematical Physics
Quantum Physics
Descrição
Resumo:[EN]The effects induced by the quantum vacuum fluctuations of one massless real scalar field on a configuration of two partially transparent plates are investigated. The physical properties of the infinitely thin plates are simulated by means of Dirac-$\delta-\delta^\prime$ point interactions. It is shown that the distortion caused on the fluctuations by this external background gives rise to a generalization of Robin boundary conditions. The $T$-operator for potentials concentrated on points with non defined parity is computed with total generality. The quantum vacuum interaction energy between the two plates is computed using the $TGTG$ formula to find positive, negative, and zero Casimir energies. The parity properties of the $\delta-\delta^\prime$ potential allow repulsive quantum vacuum force between identical plates.