On dissipative radiation and Quantum Forces

Carlos Villarreal, Instituto de Física, UNAM

ELAF, Colegio Nacional, julio de 2013

Rocío Jáuregui, IFUNAMShahen Hacyan, IFUNAMLuis Mochán, ICFRaúl Esquivel, IFUNAMCecilia Noguez, IFUNAMMichael Lomnitz, Kent U.

I mentioned my results to Niels Bohr, during a walk. That is nice, he said. That is something new. I told him that I was puzzeld by the extremely simple form of the expressions for the interaction at very large distances and he mumbled something about zero-ponit energy. That was all, but it put me on a new track.

H. B. G. Casimir (March 1992)

Hendrik Brugt Gerhard Casimir (1909-2000)

R

2

4720

cE

R

Casimir Effect (1948)

2

4

1( )

240

cF R

R

Casimir force in dispersive media

Lifshitz (1956)

Thermal corrections to Casimir force

Matsubara frequencies:

Derjaguin et al. (1951)

1 2

1 2

( ) 2 ( ) 2 ( )z

z d

R RF d rdr f z E d

R R

2

12 ( )R

R E d

R = 98 micronsA = 35 nm

With no impurities!

Bound electrons: harmonic oscillations

Free electrons: scattering

Impurity scattering

Electron-phonon scattering

Electron-electron scattering

pN

Al – Al (Mohideen 1998)R = 98 microns; A = 35 nm

L (microns)

Au – Au (Mohideen 2000)R = 95.5 mu

z0 = 32.7 nm ; Arms = 1 nm

pN

L (mu)

Au – Au (Dalvit 2000)R = 15.6 cm A = 40 nm

pN/mu

L (mu)

Au – Cu (Decca 2003)R = 148 microns; A = ?

L (mu)

pN