The problem Eric is that once the math is solved, the expected nuclear
reaction is hot fusion, not cold fusion. Consequently, this effort is
a waste of time. This is something the hot fusion field needs to
understand to explain the effect of bombarding materials with
energetic deuterons. The effort has no application to cold fusion.
Ed
On Feb 9, 2013, at 9:13 AM, pagnu...@htdconnect.com wrote:
Eric,
It's good to hear Ron Maimon is trying to develop this theory.
But, the math is truly confusing, bewildering and intimidating -
even to formulate the problem, let alone solve it.
When composite particles are involved, calculating tunneling
probability
is almost intractable - even in free space, much less in condensed
matter.
A recent paper on composite particle tunneling -
"Tunneling of a molecule with many bound states in three dimensions"
http://iopscience.iop.org/0953-4075/46/4/045201
(free - with registration)
- (and, the many references it cites) shows how tricky this is.
There are some related papers on arxiv.org too.
In the case of LENR, I think the empirical trumps the theoretical.
-- Lou Pagnucco
Eric Walker wrote:
On Fri, Feb 8, 2013 at 11:08 AM, <pagnu...@htdconnect.com> wrote:
While it discusses the extreme focusing of ~1 MeV proton wave-
functions,
perhaps particles/ions in micro-/nano-channels in zeolites,
nano-crevices, nanostructures, ..., experience more wave-function
focusing than expected - possibly increasing tunneling probability
by dramatically increasing overlap of channel particle wave-
functions.
Ron Maimon was getting at a similar idea by having two deuterons
meet near
a palladium spectator nucleus, at the classical turning point where
the
strength of the positive charge of the palladium nucleus would push
the
positively charged deuterons back out again. With 20 keV of initial
kinetic energy, the deuterons would penetrate the electron shells
as far
as
the K shell before turning around again. At the turning point
their de
Broglie waves would be "enhanced,", or, presumably, focused, and as a
result overlap and tunneling would be more likely.
Several significant difficulties with this approach were raised
which have
not yet been brought to Ron's attention. Presumably he would set us
straight on what I misunderstood of what he was saying.
Eric