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Interpretation of Schrödinger equation based on classical mechanics and spin

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“My own conclusion is that today there is no interpretation of quantum mechanics that does not have serious flaws. This view is not universally shared. Indeed, many physicists are satisfied with their own interpretation of quantum mechanics. But different physicists are satisfied with different interpretations. In my view, we ought to take seriously the possibility of finding some more satisfactory other theory, to which quantum mechanics is only a good approximation.”

Steven Weinberg.

Abstract

Schrödinger equation is a corner stone of quantum mechanics, but its simple derivation and it means its understanding is still missing. It is accepted that Schrödinger equation is based both on wave mechanics and quantum mechanics, but it does not have information about spin. Here, based on classical mechanical action and spin precession, we present elementary derivation of an analog of time-dependent Schrödinger equation in the presence of field without particle–wave duality principle. We also derive an analog of relativistic Klein–Gordon–Fock equation. The results are useful for interpretation of quantum mechanics, Pauli exclusion principle, for magnetic field-sensitive reactions, spin-related ESR spectroscopy, and ENDOR.

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Acknowledgements

The author declares no conflict of interest and wishes to thank professor M. Gruebele for interest and the School of Chemical Sciences at the University of Illinois for financial support, while this work was carried out.

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  1. Department of Chemistry, University of Illinois, Urbana, IL, 61801, USA

    Nikolai M. Kocherginsky

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Kocherginsky, N.M. Interpretation of Schrödinger equation based on classical mechanics and spin. Quantum Stud.: Math. Found. 8, 217–227 (2021). https://doi.org/10.1007/s40509-020-00240-8

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