Dynamic vs Static QM: RealQM vs StdQM

RealQM is an alternative to textbook Standard Quantum Mechanics StdQM.  

• RealQM is based on non-overlapping one-electron charge densities:
• RealQM has the dynamic time-dependent form of classical continuum mechanics in 3d with direct physical meaning. 
• StdQM acts over abstract $3N$-dimensional configuration space for an atom with $N$ electrons as a formal scheme without direct physical meaning and with prescribed unitary evolution in time in forms of static eigenfunctions. 
• RealQM with one-electron non-overlapping charge densities, does not need the Pauli Exclusion Principle PEP. No two electrons can occupy the same spatial domain as a consequence of mutual Coulomb repulsion.
• StdQM with overlaying electron densities with global support needs PEP to prevent more than two electrons to overlay. Two electrons with opposite spin can overlay.
• RealQM does not need to concept of spin.
• Electrons in RealQM are identified by unique spatial presence, just like macroscopic bodies. 
• Electrons in StdQM have no identity and are interchangeable.  
• Computational complexity is polynomial for RealQM (computable) and exponential for StdQM (uncomputable)
• RealQM explains stability of atoms and matter from non-overlap of electron densities and  dynamics of accumulation of electrons. Explanations in StdQM very complex.   
  
  

For the Helium atom with 2 electrons, RealQM gives a ground state electron configuration with the two electrons separated into two half-spaces meeting at a plane containing the atomic kernel. StdQM gives 2 overlaying electrons identical and interchangeable. 

The ground state of Lithium Li with 3 electrons is in RealQM described by 2 electrons in a 1st shell split into two half spaces, and 1 electron in a 2nd shell with spherical symmetry. A configuration with 3 electrons in a 1st shell gives lower energy which is however not attainable because Li is formed from Li+ with 2 electrons in a 1st shell which is filled and does not allow incorporation of 3rd electron, which is forced outside into a 2nd shell. The form of RealQM allows simulation of the dynamic formation of Li from Li+ by adding one electron in an outer 2nd shell.

More generally, RealQM allows simulation of the dynamic physical formation ground states of atoms by successive addition of electrons filling shells, and also the dynamic formation of molecules as atoms are sequentially added under energy minimisation. This is not really possible within StdQM because the dynamics is lacking. 

RealQM thus may open new possibilities of computational protein folding, which is beyond the capacity of StdQM.

RealQM is dynamic, physical and computable. StdQM is static, unphysical and uncomputable.  

PEP as basic element of StdQM is an ad hoc assumption without physics. No physical reason is given which explains why 2 electrons with opposite spin, can overly but not three. The 4 quantum numbers used to identify electrons including spin have formal nature rather than real.  

The situation can be compared with classical thermodynamics with focus on static equilibrium states vs computational thermodynamics allowing simulation of dynamic transition between equilibrium states.