Volume 2 - LENR-CANR

(a) A Pictorial Representation
of Virtual Collision Matrix Elements, Initial V Final
Initial State Final State
Initial V Final
Initial V Final = (Rate of Overlap Wave Changes)
(b) Relationship
of Initial V Final to Density Initial (
r)
Final and Current Initial j(
r)
Final
i d
3 Initial (r) Final
Initial V Final r
t
Fig.4: Shows a pictorial representation of each virtual collision matrix element Initial V Final (in
j
(a)), how (in (b)) Initial V Final is related to the current and density matrix elements,
Initial j Final and Initial Final through a surface region integration representation (when
energy is conserved) involving flux contributions at the boundaries of the collision region from currents
located outside (
Initial
j Final ) and inside (
Initial
jinside Final ) and a pictorial representation (in
(c)) of this fact. Resonance occurs (in (d)) when the flux contribution from inside the region vanishes.
528
=0 When energy is conserved
) (c) How ) Initial V Final
relates to Currents Outside ( j
and Inside ( jinside
j
j
Boundary
of V
j
j
Collision
+
j
Region
“Flux” from Outside
“Flux” from Inside
Collision Region
Collision Region
(d) Pictureof
How ResonanceAffectsRelationship
between Initial V Final and j
j
j
Resonant Condition: inside =0, Initial V Final
dA n Initial
j(r) Final
jinside
j