Robin van Spaandonk wrote:
> In reply to Axil Axil's message of Wed, 13 Nov 2013 13:21:02 -0500:
> Hi,
> [snip]
>>Light intensity at 10^^12 (watts/cm2) produces a strong Electric field at
>>(10^^9) Volts/meter.
> Over a distance of 1 nm (10 Angstrom) this is just 1 Volt.
> [...]
This is correct, but it only shows that a localized electron can only
attain 1eV when crossing that gap unobstructed.
For an electron, 1[eV] corresponds to an approximate momentum of
4 * 10^(-25) [N*sec] {'N' = Newton}
However, if an electron is trapped in that field, i.e., the mean position
of its wave function is fixed, for a time T instead of accelerating thru
collision-free, it gains a momentum impulse
= T[sec] * e[C] * 10^9[Volt/meter] {where 'e' = electron charge[Coulomb]}
= T[sec] * (1.6^10^(-19)[C]) * 10^9 [N/C]
= T * 1.6^10^(-10) [N*sec]
So, in the latter case, the electron gains T*(10^14) times more momentum.
('T' measured in seconds.)
Possibly, this happens when the electron collides with a particle of
equal and opposite momentum.
In quantum mechanics, a highly localized or oscillatory wave functions
can posses high momentum (or kinetic energy) even when not moving much.
Also, an electron is a fermion, so it really needs to be represented by
a 4-component spinor in the Dirac equation. It can undergo more
oscillation within the spinor.
-- Lou Pagnucco
