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Abstract

Quantum theory was originally built on Schrödinger's misfit of the TWO-DIMENSIONAL (complex) "solutions" of the ONE-DIMENSIONAL Harmonic Oscillator equation. The "terrible" consequences of this adjustment "excite the minds." It is for this reason that it is taught that Quantum Mechanics should not be understood, but should be ACCEPTED. But, as shown in this work, non-physical, rough decisions were made and canonized. Namely, on their basis, electronic orbitals were constructed, qualitatively applicable only for the hydrogen atom, but widely used in fundamental and applied science. So the “Strangest Secret” of the theorists is that, in fact, having no Basic Model, they are exclusively engaged in fitting solutions to the “chosen” Schrödinger Equation. A rigorously mathematical analysis of the oscillations of the Two-Dimensional Oscillator in a paraboloid of revolution gives GROUNDS to believe that it is the Planck-Einstein Quantization, which has been pushed aside by the “developmental”, gives a correct description of a parameter hidden for macroscopic measurements – de Broglie matter waves. This made it possible to obtain a physically-based Planck-Einstein Quantization (P-E_Q) of the Harmonic Oscillator. And it is correct to use P-E_Q for calculating electron orbitals.

Introduction

The qualitative description by Quantum Mechanics of the Periodic Table of Mendeleev and the chemical bond [1] overshadowed the catastrophic discrepancies between the experimentally obtained Ionization Potentials [2, 3] and the energy position of the allowed levels obtained from the Schrödinger equation. Be that as it may, the Schrödinger equation was canonized to such an extent that even Richard Feynman, who came close to the original Planck-Einstein Quantization in his path integrals, did not dare to declare his approach to correcting the canonized equation [4, 5]. And as Bob Laughlin said in his Nobel lecture: To describe any quantum phenomenon, it is enough to take the Schrödinger equation and solve it under new boundary conditions [6]. And his solutions give no less serious discrepancies with the shape of electron orbitals [7,8 9] and with experimentally measured phonon spectra [10]. And, as follows from the analysis of basic models [11], a huge number of earlier works, including mine, built on the canonized "Quantum Representations", are simply fitting the results of experiments to quantum mechanical calculations. Whereas ELEMENTARY ANALYSIS, as will be shown below, shows that the Schrödinger equation itself is a very rough fit to Bohr's atomic model. The return to Physics by Senior Telegrapher Heaviside of Mathematics was actually a return to Newton's Physics where They were ONE. This helped Maxwell to comb his Electrodynamics and Schrödinger in applying the operator method to describe the microworld. So the very use of the operator method was undoubted progress, which prompted both Dirac to construct the vector Quantum Mechanics, and von Neumann, to the proof of ITS Completeness. But Completeness was obtained abstractly, for a set of operators, and was perceived concretely, as referring to Schrödinger's solutions, which, as shown above, simply do not correspond to the cautious characterization given by Einstein: "SOME Equations of Classical Physics can be rewritten in operator form." Einstein subtly felt the dissonance of equations with Reality, some of them obtained by himself and those obtained by Schrödinger. Here is the analysis carried out and was based on the verification of the Classical Equations rewritten by Schrödinger, from which Bohr pushed Einstein himself (into the Theory of Relativity) with the phrase that he takes on the role of God in determining the CORRECTNESS of the Classical Equations used. But God in Science is Logic, which must be followed, commensurate conclusions with Reality.

Conclusion

It was from MISSION that the mysticism of two-dimensional mathematical solutions for a one-dimensional model was hidden behind the mystical parameter “wave function”, to which the entire “understanding” of Quantum Theory in various interpretations was reduced. Whereas the analysis Whereas the Planck-Einstein Quantization of de Broglie waves gives a simple physical meaning to the parameter of de Broglie waves hidden for macroscopic measurements - this is the energy density of the field that forms the de Broglie wave. On the other hand, the "hardness" of the field obtained from the interference of de Broglie waves contains both the speed of light and Planck's constant. Whereas in similar formulas obtained from classical models and from the Theory of Relativity, Planck's constant is absent, which directly indicates the incompleteness of their Basic Models. The correction of electronic atomic and molecular orbitals, which were directly associated with Schrödinger's solutions, will make it possible to solve the problems of many areas of science and technology associated with Physics.

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References

1. George C. PIMENTEL, Richard D. SPRATLEY, CHEMICAL BONDING CLARIFILD THROUGH QUANTUM MECHANICS, HOLDEN-DAY, Inc., SAN-FRANCISCO-CAMBRIDGE-LONDON- AMSTERDAM, 1970, 333 pp.

2. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) "ionization potential". doi:10.1351/goldbook.I03208

3. Ordin S.V., “Quasinuclear foundation for the expansion of quantum mechanics", International Journal of Advanced Research in Physical Science (IJARPS), Volume 5, Issue 6, 2018, PP 35-45.

4. Feynman, Richard P. (1942). Laurie M. Brown (ed.). The Principle of Least Action in Quantum Mechanics. PhD Dissertation, Princeton University. World Scientific (with title "Feynman's Thesis: a New Approach to Quantum Theory") (published 2005). ISBN 978-981-256-380-4.

5. Feynman, Richard P. (2000). (ed.). Selected Papers of Richard Feynman: With Commentary. 20th Century Physics. World Scientific. ISBN 978-981-02-4131-5.

6. Robert Laughlin, "What is primary: Mathematics or Physics?" Lectures of the St. Petersburg meeting of the Nobel Prize laureates "Science and Human Progress" June 16-21, 2003.

7. Ordin S.V., «Theoretical and practical aspects of the analysis of atomic-molecular bonds», Journal of Chemical Biology and Medicinal Chemistry, Pulsus Journals-18-1020, Apr. 30 2018, 12 pp.

8. Stanislav Ordin, “ELECTRONIC LEVELS AND CRYSTAL STRUCTURE”, Journal of Modern Technology & Engineering {ISSN 2519-4836} Vol.3, No.2, 2018, pp.125-142

9. Ordin S.V., “C & BN-Foundation for Atomic-Crystalline Orbitals”, GJSFR-A Volume 18, Issue 5, Version 1.0, pp. 16-47,

10. Ordin S.V., "Frontier Chemistry Aspects", Global Journal of Science Frontier Research: B- Chemistry (GJSFR-B), Volume 20 Issue 2 Version 1.0, pp. 1-11, Year 2020, (ISSN Online : 2249-4626, ISSN Print : 0975-5896), DOI : 10.17406/GJSFR,

11. Stanislav Ordin, Book: “Refinement of basic physical models”, Lambert, 2017, Project № 163273, ISBN: 978-3-659-86149-9, 82 pp.

12. Stanislav Ordin, Book: “Modern Physics”, Second Edition », Lambert, 2021, ISBN 978-620-3-30509-8, 306 pp.

13. Stanislav Vladimirovich Ordin, Book: “FOUNDATIONS OF Planck-Einstein Quantization (Thematic collection of recent studies reviewed in scientific journals).”, LAP LAMBERT Academic Publishing, 2021, ISBN 978-620-4-21066-7, 110 pp.

14. Stanislav Ordin, Review Article, “Non-Elementary Elementary Harmonic Oscillator”, American Journal of Materials & Applied Science(AJMAS), Volume 3 Issue 1, Published date: 03/08/2021, Pages: 003-008/,

15. Arthur Haas, MATERIEWEELEN und QUANTENMECHANIK, Berlin, 1929, 250 pp/

16. STANISLAV ORDIN, ANALYSIS OF NEWTON'S ELEMENTARY PARTICLE, Journal of Multidisciplinary Engineering Science Studies (JMESS), Volume. 7, Issue. 11, November – 2021, p. 1-13, Paper ID: JMESSP13420788

17. Ordin S.V., “The functional relationship of the gravitational and inertial masses.” International Journal of Advanced Research in Physical Science , Volume 6, Issue 6, 2019, PP 24-32, ID: 08190033

18. Stanislav Vladimirovich Ordin, «INERTIA», в книге Book: “FOUNDATIONS OF Planck-Einstein Quantization (Thematic collection of recent studies reviewed in scientific journals).”, LAP LAMBERT Academic Publishing, 2021, ISBN 978-620-4-21066-7, 110 pp. с.61-68