RealQM vs StdQM: Primitives as Force or Energy?

RealQM is a mathematical model of classical continuum mechanics form of atomic physics based on local non-overlapping one-electron charge densities generating Coulomb potentials determining electrostatic forces.

A stationary state of an atom as ground state or excited state, is established in a dynamic process driven by forces towards force balance expressing minimum/stationarity of total energy. Forces include electrostatic forces and forces from presence of kinetic energy.

In classical physics, force is a primitive concept and energy is derived as force x displacement and then measured in Joule = Newtonmeter. Force balance is more primitive than minimum/stationarity of total energy. 

Real physics is governed by forces and does not have any means of measuring total energy to seek minimum/stationarity of total energy. 

Computational physics can compute total energy and through a gradient method proceed towards energy minimum/stationarity. 

RealQM can mimic real physics by computing forces to seek balance of forces, or in computational form use gradient method. 

We compare with textbook Standard Quantum Mechanics StdQM, where electrons do not have local non-overlapping support and so do not express electronic Coulomb potentials and so not electrostatic forces. StdQM is defined by minimum/stationarity of total energy and not by force balance. StdQM only allows determination of pseudo-forces as gradients of total energy. 

Let us compare Molecular Dynamics MD based on RealQM vs StdQM. 

• RealQM is like real physics based on forces as primitives and force balance defining stationary states. 
• StdQM is based on total energy which is not a primitive in real physics.   

It may be that RealQM opens new possibilities in MD. Computational complexity is linear in RealQM and exponential in StdQM.