Quantum mechanics was invented in the 1920s under limits of pen and paper computation but allowing limitless theory thriving in Hilbert spaces populated by multidimensional wave functions described by fancy symbols on paper. Lofty theory and sparse computation was compensated by inflating the observer role of the physicist to a view that only physics observed by a physicist was real physics, with extra support from a conviction that the life or death of Schrödinger's cat depended more on the observer than on the cat and that supercolliders are very expensive. The net result was (i) uncomputable limitless theory combined with (ii) unobservable practice as the essence of the Copenhagen Interpretation filling text books.
Today the computer opens to a change from impossibility to possibility, but this requires a fundamental change of the mathematical models from uncomputable to computable non-linear systems of 3d of Hartree-Schrödinger equations (HSE) or Density Functional Theory (DFT). This brings theory and computation together into a new paradigm of Computational Quantum Mechanics CQM shortly summarized as follows:
- Experimental inspection of microscopic physics difficult/impossible.
- HSE-DFT for many-particle systems are solvable computationally.
- HSE-DFT simulation allows detailed inspection of microscopics.
- Assessment of HSE simulations can be made by comparing macroscopic outputs with observation.