on dissipative radiation and quantum forces carlos villarreal, instituto de física, unam elaf,...
TRANSCRIPT
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