TY - JOUR
T1 - Casimir effect as a sum over modes in dissipative systems
AU - Intravaia, Francesco
AU - Behunin, Ryan
PY - 2012/12/28
Y1 - 2012/12/28
N2 - The aim of this paper is to show that within the open-system framework the sum-over-modes approach of Casimir leads to the Lifshitz formula for the Casimir free energy. A general result applicable to arbitrary geometries is obtained through the use of Ford, Lewis, and O'Connell's remarkable formula. Additionally, we address the possibility of obtaining the Casimir energy as a sum over complex "modes." We show in this case that the standard sum-over-modes formula must be suitably generalized to avert unphysical complex energies. Finally, we apply our results to several standard examples.
AB - The aim of this paper is to show that within the open-system framework the sum-over-modes approach of Casimir leads to the Lifshitz formula for the Casimir free energy. A general result applicable to arbitrary geometries is obtained through the use of Ford, Lewis, and O'Connell's remarkable formula. Additionally, we address the possibility of obtaining the Casimir energy as a sum over complex "modes." We show in this case that the standard sum-over-modes formula must be suitably generalized to avert unphysical complex energies. Finally, we apply our results to several standard examples.
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U2 - 10.1103/PhysRevA.86.062517
DO - 10.1103/PhysRevA.86.062517
M3 - Article
AN - SCOPUS:84871764484
SN - 1050-2947
VL - 86
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062517
ER -