Physics – Quantum Physics
Scientific paper
2005-08-03
Physical Review A 72, 052106 (2005)
Physics
Quantum Physics
12 pages
Scientific paper
10.1103/PhysRevA.72.052106
We consider two three-dimensional isotropic harmonic oscillators interacting with the quantum electromagnetic field in the Coulomb gauge and within dipole approximation. Using a Bogoliubov-like transformation, we can obtain transformed operators such that the Hamiltonian of the system, when expressed in terms of these operators, assumes a diagonal form. We are also able to obtain an expression for the energy shift of the ground state, which is valid at all orders in the coupling constant. From this energy shift the nonperturbative Casimir-Polder potential energy between the two oscillators can be obtained. When approximated to the fourth order in the electric charge, the well-known expression of the Casimir-Polder potential in terms of the polarizabilities of the oscillators is recovered.
Ciccarello Francesco
Karpov Evgueni
Passante Roberto
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