### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 062109-1-062109-6 |

Numero di pagine | 6 |

Rivista | PHYSICAL REVIEW A |

Volume | 85 |

Stato di pubblicazione | Published - 2012 |

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### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cita questo

*PHYSICAL REVIEW A*,

*85*, 062109-1-062109-6.

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

Risultato della ricerca: Article

*PHYSICAL REVIEW A*, vol. 85, pagg. 062109-1-062109-6.

}

TY - JOUR

T1 - Harmonic oscillator model for the atom-wall Casimir-Polder interaction energy

AU - Passante, Roberto

AU - Rizzuto, Lucia

AU - Spagnolo, Salvatore

AU - Petrosky, Tomio Y.

AU - Tanaka, Satoshi

PY - 2012

Y1 - 2012

N2 - 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.

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.

UR - http://hdl.handle.net/10447/63370

M3 - Article

VL - 85

SP - 062109-1-062109-6

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

ER -