Casimir interaction between two concentric cylinders: exact versus semiclassical results

F.D. MAZZITELLI, M.J. SÁNCHEZ, N.N. SCOCCOLA AND J. VON STRECHER

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

Año: 2003 vol. 67 p. 13807 - 1380711

1050-2947

The Casimir interaction between two perfectly conducting, infinite, concentric cylinders is computed using a semiclassical approximation that takes into account families of classical periodic orbits that reflect off both cylinders. It is then compared with the exact result obtained by the mode-by-mode summation technique. We analyze the validity of the semiclassical approximation and show that it improves the results obtained through the proximity theorem.