Physics – Quantum Physics
Scientific paper
2007-03-27
Phys. Rev. A 76, 012118 (2007)
Physics
Quantum Physics
7 pages, 5 figures; REVTeX
Scientific paper
10.1103/PhysRevA.76.012118
Casimir pistons are models in which finite Casimir forces can be calculated without any suspect renormalizations. It has been suggested that such forces are always attractive, but we present several counterexamples, notably a simple type of quantum graph in which the sign of the force depends upon the number of edges. We also show that Casimir forces in quantum graphs can be reliably computed by summing over the classical orbits, and study the rate of convergence of the periodic orbit expansion. In generic situations where no analytic expression is available, the sign and approximate magnitude of Casimir forces can often be obtained using only the shortest classical orbits.
Fulling Stephen A.
Kaplan Leah
Wilson Helen J.
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