Good questions, Robin I wish I remembered solid state physics better, but I am not sure that sure that your estimates are correct in a crystal lattice where the energy eigenfunctions are nonlocal and span the entire crystal, but acquire more nodes when they gain energy.
If my memory is correct, higher energy wave functions will have sharper, more localized nodes, but will be larger than particle radii. -- LP mixent wrote: > In reply to pagnu...@htdconnect.com'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 > > >
