Whoops! - I realize my analysis cannot be correct.
I should have replaced the classical constant force with a linear
potential, which should give a different answer. Needs to be reworked.
-- Lou Pagnucco
pagnu...@htdconnect.com wrote:
> 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
>
>
>
>
