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EnglishIn 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.
| Data di pubblicazione: | 2012 |
| Titolo: | Harmonic oscillator model for the atom-wall Casimir-Polder interaction energy |
| Autori: | |
| Citazione: | Passante, R., Rizzuto, L., Spagnolo, S., Tanaka, S., & Petrosky, T. (2012). Harmonic oscillator model for the atom-wall Casimir-Polder interaction energy. PHYSICAL REVIEW A, 85, 062109-1-062109-6. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevA.85.062109 |
| 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. |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/63370
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