söndag 29 december 2024

Real Quantum Mechanics vs Standard Quantum Mechanics

Listening to the talks a recent meeting on Density Functional Theory DFT based on the linear multi-dimenisonal Schrödinger equation as the pillar of modern physics in the form Standard Quantum Mechanics StdQM, has given me incentive to ask the speakers of the meeting to take a look at Real Quantum Mechanics RealQM, which offers a different approach to the physics of atoms and molecules.

The reactions I have received so far express scepticism combined with astonishment, which I take as a sign that RealQM offers something new. Here you find presentations of RealQM:

Comparing StdQM and RealQM, we have 
  • StdQM: Statistical without direct physical meaning. 
  • RealQM: Deterministic with direct physical meaning.
  • StdQM: Multi-dimensional without direct physical meaning. 
  • RealQM: Three-dimensional with direct physical meaning.
  • StdQM: Difficult to compute because of many dimensions.
  • RealQM: Easy to compute because of three dimensions.
  • StdQM: Mysteries: collapse of wave function, measurements, electrons as particles, correlation, exchange, exclusion principle, uncertainty principle,...
  • RealQM: No mysteries. 
RealQM connects to DFT in the sense that electron charge density is a central concept, but there is a key difference:
  • DFT is based on a collective electron density without electron individuality.
  • RealQM is based non-overlapping one-electron densities with individuality.
  • DFT requires additional non-obvious modeling to deliver results.
  • RealQM is a parameter-free model ready to deliver results by pressing a computational button. 
RealQM connects to QATIM based on non-overlapping regions of kernel attraction, while RealQM works with non-overlapping regions of electron charge densities. 

RealQM connects to Atomic/Molecular Orbital theory MO based on s, p, d and f orbitals as global eigenfunctions for the Hydrogen atom, while RealQM is based on local charge densities. 

Real QM supports a shell configuration of electrons with outermost shell containing valence electrons participating in chemical reaction and so connects to VSEPR.

In short, RealQM connects to all the reduced variants of StdQM open to computation, but RealQM has a distinctive form of its own as a parameter-free model open to efficient computation without need of any additional modeling and in agreement with observation. 

RealQM has the form of classical continuum mechanics of solids/fluids which does not serve a prominent role in the education of a modern physicist and so may represent terra incognito. In particular, the presence of the Laplacian differential operator is in StdQM viewed to connect to "kinetic energy" suggesting motion, while in RealQM it connects to a form of "compression energy" without motion. 


2 kommentarer:

  1. What you need to show is that your theory gives results that match experiments. If it doesn't match reality it doesn't matter how elegant you think it is.

    SvaraRadera
  2. The references give a rich collection of computations in agreement with observations, including ground state energies for most of the periodic table, excited states, and basic molecules. Theoretical elegance gives efficient computation in agreement with experiments.

    SvaraRadera