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arXiv · 1205.5635

Harmonic oscillator model for the atom-surface Casimir-Polder interaction energy

Roberto Passante·Lucia Rizzuto·Salvatore Spagnolo·Satoshi Tanaka·Tomio Y. Petrosky
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Abstract

In this paper we consider a quantum harmonic oscillator interacting with the electromagnetic radiation field in the presence of a boundary condition preserving the continuous spectrum of the field, such as an infinite perfectly conducting plate. Using an appropriate Bogoliubov-type transformation we can diagonalize exactly the Hamiltonian of our system in the continuum limit and obtain non-perturbative expressions for its ground-state energy. From the expressions found, the atom-wall Casimir-Polder interaction energy can be obtained, and well-know lowest-order results are recovered as a limiting case. Use and advantage of this method for dealing with other systems where perturbation theory cannot be used is also discussed.

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Roberto Passante, Lucia Rizzuto, Salvatore Spagnolo, Satoshi Tanaka, Tomio Y. Petrosky. 2012-06-20. Harmonic oscillator model for the atom-surface Casimir-Polder interaction energy. https://doi.org/10.1103/physreva.85.062109

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