Casimir Interaction between a Plate and a Cylinder

Journal Article · Fri Mar 03 04:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.96.0· OSTI ID:20778719

Emig, T ^[1]; Jaffe, R L; Scardicchio, A ^[2]; Kardar, M ^[3]

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1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne (Germany)
2. Center for Theoretical Physics and Laboratory for Nuclear Science, Cambridge, Massachusetts 02139 (United States)
3. Department of Physics Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate sphere, where it is known at large separations. The force has an unexpectedly weak decay {approx}L/[H{sup 3}ln(H/R)] at large plate-cylinder separations H (L and R are the cylinder length and radius), due to transverse magnetic modes. Path integral quantization with a partial wave expansion additionally gives a qualitative difference for the density of states of electric and magnetic modes, and corrections at finite temperatures.

• OSTI ID: 20778719
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 8 Vol. 96; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CASIMIR EFFECT
CORRECTIONS
CYLINDERS
DENSITY
EXPANSION
GEOMETRY
INTERACTIONS
LENGTH
PARTIAL WAVES
PARTICLE DECAY
PATH INTEGRALS
PLATES
QUANTIZATION