There is an explanation of how Schrödinger derived an equation that conserves energy using the wave function to describe the electron at:
http://www.missioncollege.org/depts/physics/P4poe/P4D/Schrodinger.htm
It is interesting to note that it is dependant upon energy and a wave function. I would hope to show here that this is consistent with my V wave and F wave in my GUT.
Equation 2 shows that we are taking an error function over two sums. This is very similar to my V wave equation y = e^(x^2) + e^(- x^2) but my V wave confines itself to real values only. The angular momentum term in Schrödinger's power could allow for the exponential to become negative and the constant a term could allow for different elements to exhibit different mass to energy conversion rates!Free Particles
Free Particle
If we assume that the particle has no forces acting on it which means the potential energy is zero. The solution to Schrödinger’s equation reduces to equation 8a. This assumes no external forces are acting upon the particle and follows the V wave equation.
A description of the terms for the Shrodinger Equation is given in figure "Shrodinger Equation". The first term shows an acceleartion which if we consider the V wave is not surprising. The second term uses mass and energy (rather than mass to energy and vice versa but is quite close).
If we move the first term to the right hand side of the equation we have an acceleration equal to the decay in mass to energy!