229(1): LENR, Quantum Tunnelling through the Coulomb Barrier

Feed: Dr. Myron Evans
Posted on: Wednesday, September 26, 2012 6:53 AM
Author: metric345
Subject: 229(1): LENR, Quantum Tunnelling through the Coulomb Barrier

In this case the transmission coefficient of the standard theory is eq. (23) or eq. (26). This is the Gamov theory at its simplest. So computer algebra can be applied now by co authors of UFT229, Horst Eckardt and Douglas Lindstrom, to determine whether tunnelling through the Coulomb barrier is ever possible This means checking the derivation of eq. (23) and evaluating it by computer algebra. By inspection of eq. (23) tunnelling seems possible when:
a >> x

i.e.

V >> E

when x sub 1 reduces to

x sub 1 ~ 8.33 x 10 power 6 root ((Z sub 1 Z sub 2) a)

so for small a or low E, T becomes enough for low energy nuclear fusion. This theory is described in Merzbacher pp. 126 ff. and uses the well known Wentzel / Kramers / Brillouin approximate solution of the Schroedinger equation for any barrier as shown in Fig. (1). This theory already gives the gist of LENR, and can be made much more sophisticated. The fine structure constant enters into the theory, which gives a clue as to how the ECE vacuum may affect the process, i.e. how energy from spacetime may enter the calculation in the simplest way as in UFT85 for the Lamb shift.

a229thpapernotes1.pdf

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