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

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

Risultato della ricerca: Article

10 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)062109-1-062109-6
Numero di pagine6
RivistaPHYSICAL REVIEW A
Volume85
Stato di pubblicazionePublished - 2012

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harmonic oscillators
continuous spectra
radiation distribution
preserving
atoms
electromagnetic radiation
perturbation theory
interactions
boundary conditions
continuums
conduction
ground state
energy

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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Harmonic oscillator model for the atom-wall Casimir-Polder interaction energy. / Passante, Roberto; Rizzuto, Lucia; Spagnolo, Salvatore; Petrosky, Tomio Y.; Tanaka, Satoshi.

In: PHYSICAL REVIEW A, Vol. 85, 2012, pag. 062109-1-062109-6.

Risultato della ricerca: Article

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AU - Passante, Roberto

AU - Rizzuto, Lucia

AU - Spagnolo, Salvatore

AU - Petrosky, Tomio Y.

AU - Tanaka, Satoshi

PY - 2012

Y1 - 2012

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AB - 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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