Quantum Spring

Abstract

In this paper, we will give a short review on \textit{quantum spring}, which is a Casimir effect from the helix boundary condition that proposed in our earlier works. The Casimir force parallel to the axis of the helix behaves very much like the force on a spring that obeys the Hooke's law when the ratio $r$ of the pitch to the circumference of the helix is small, but in this case, the force comes from a quantum effect, so we would like to call it \textit{quantum spring}. On the other hand, the force perpendicular to the axis decreases monotonically with the increasing of the ratio $r$. Both forces are attractive and their behaviors are the same in two and three dimensions.

Contribution to the proceedings of the 2011 Shanghai Asia-Pacific School and Workshop on Gravitation; 9 pages, 5 figures

References in corpus (7)

• Casimir forces between arbitrary compact objects
• Casimir force on a piston
• Casimir pistons with hybrid boundary conditions
• The Casimir force of Quantum Spring in the (D+1)-dimensional spacetime
• Casimir Pistons for Massive Scalar Fields
• Quantum Spring from the Casimir Effect
• Fermionic Casimir effect with helix boundary condition