Pardon for this very late postscript, time is hard to find. I believe you assume a wave function totally confined in all 3-dimensions. This is probably not what was intended. It is easy to find papers describing crystal/lattice channel conduction of much higher energy particles (electrons, protons, ...). These are extended states - only confined in one or two dimensions. High energy particles do not necessarily break the lattice structure.
-- LP mixent wrote: > In reply to [email protected]'s message of Wed, 15 Aug 2012 > 14:54:29 > -0400 (EDT): > Hi, > [snip] >>"Brillouin's lattice stimulation reverses the natural decay of neutrons >> to >>protons and Beta particles, catalyzing this endothermic step. >> Constraining >>a proton spatially in a lattice causes the lattice energy to be highly >>uncertain. With the Hamiltonian of the system reaching 782KeV for a >> proton >>or 3MeV for a deuteron the system may be capable of capturing an >> electron, >>forming an ultra-cold neutron or di-neutron system." > > If I understand this correctly, it would require an uncertainty in > position of > less than 2.7 fm (comparable in magnitude to the size of a nucleus) for a > proton, and < 1.3 fm for a deuteron. Note that the latter is less than the > size > of the deuteron itself. > > Regards, > > Robin van Spaandonk > > http://rvanspaa.freehostia.com/project.html > > >
