Deriving the time-dependent Schrodinger m- and p-equations from the Klein-Gordon equation.
P. Kinsler,
Department of Physics,
Imperial College London,
Prince Consort Road,
London SW7 AZ,
United Kingdom.
http://arxiv.org/abs/1309.2484
I present an alternative and rather direct way to derive the
well known Schrodinger equation for a quantum wavefunction, by
starting with the Klein Gordon equation and applying a
directional factorization scheme. And since if you have a
directionally factorizing hammer, everything looks like a
factorizable nail, I also derive an alternative wavefunction
propagation equation in the momentum-dominated limit. This
new Schrodinger p-equation therefore provides a potentially
useful complement to the traditional Schrodinger m-equation's
mass-dominated limit.
Email: Dr.Paul.Kinsler@physics.org