Some corrected text of mine from prior post.
The force between two neutral conductive plates (ideally conducting
and zero temperature) of area A with separation z is given by:
F(z,A) = -(Pi^2 h_bar c A)/(240 z^4)
The force Fs(z,R) between a sphere of radius R and plate at distance
z from a plane, where R>>z, is given by Mohideen:
Fs(z,R) = -(Pi^3 h_bar c R)/(360 z^3)
I think the above is *not* a typo.
There are also corrections that have to be made for finite
conductivity, roughness of surface, potentials if nonzero, and
temperature. For info on the above see:
http://www.mit.edu/~kardar/research/seminars/Casimir/PRL-Mohideen98.pdf
We can thus deduce the force per unit area Fu(z) between plates, the
Casimir pressure, as:
Fu(z) = F(z,A) / A = [-(Pi^2 h_bar c A)/(240 z^4)]/A = -(Pi^2
h_bar c)/(240 z^4)
I think a good formula for the Casimir force F2s between two zero K
temperature perfectly metallic spheres of radius R1 and R2 is:
F2s(z,R1,R2) = -(Pi^3 h_bar c)*((R1 * R2)/(R1 + R2)) / (360 z^3)
Best regards,
Horace Heffner
http://www.mtaonline.net/~hheffner/
