Casimir Pistons for Massive Scalar Fields

Abstract

The Casimir force on two-dimensional pistons for massive scalar fields with both Dirichlet and hybrid boundary conditions is computed. The physical result is obtained by making use of generalized $\zeta$-function regularization technique. The influence of the mass and the position of the piston in the force is studied graphically. The Casimir force for massive scalar field is compared to that for massless scalar field.

6 pages, 7 figures, in press version of Mod. Phys. Lett. A

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• Quantum vacuum effects from boundaries of designer potentials
• Equivalence of zeta function technique and Abel-Plana formula in regularizing the Casimir energy of hyper-rectangular cavities
• Generalized Quantum Spring