TY - JOUR
T1 - Casimir energy of smooth compact surfaces
AU - Straley, Joseph P.
AU - Kolomeisky, Eugene B.
PY - 2014/7/15
Y1 - 2014/7/15
N2 - We discuss the formalism of Balian and Duplantier [Balian and Duplantier, Ann. Phys. (NY) 104, 300 (1977)APNYA60003-491610.1016/0003-4916(77)90334-7; Balian and Duplantier, Ann. Phys. (NY) 112, 165 (1978)APNYA60003-491610.1016/ 0003-4916(78)90083-0] for the calculation of the Casimir energy for an arbitrary smooth compact surface and use it to give some examples: a finite cylinder with hemispherical caps, a torus, an ellipsoid of revolution, a cube with rounded corners and edges, and a drum made of disks and part of a torus. We propose a model function that approximately captures the shape dependence of the Casimir energy.
AB - We discuss the formalism of Balian and Duplantier [Balian and Duplantier, Ann. Phys. (NY) 104, 300 (1977)APNYA60003-491610.1016/0003-4916(77)90334-7; Balian and Duplantier, Ann. Phys. (NY) 112, 165 (1978)APNYA60003-491610.1016/ 0003-4916(78)90083-0] for the calculation of the Casimir energy for an arbitrary smooth compact surface and use it to give some examples: a finite cylinder with hemispherical caps, a torus, an ellipsoid of revolution, a cube with rounded corners and edges, and a drum made of disks and part of a torus. We propose a model function that approximately captures the shape dependence of the Casimir energy.
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U2 - 10.1103/PhysRevA.90.012514
DO - 10.1103/PhysRevA.90.012514
M3 - Article
AN - SCOPUS:84904595877
SN - 1050-2947
VL - 90
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 012514
ER -