Introduction to Quantum Mechanics in Four-Dimensional Space Based on the Theory of Space

Authors

  • Dariusz Stanislaw Sobolewski Physics department, Theoretical physics, HTS High Technology Solutions, Poland

DOI:

https://doi.org/10.24297/jap.v22i.9695

Keywords:

quantum mechanics, theory of space, modern quantum mechanics, Hamiltonian function, Hamiltonian-Jacobi function, @LecturesOnTheoreticalPhysics

Abstract

The article, based on the structure of elementary particles in the form of spatial vortices revealed in the Theory of Space, the four-dimensional structure of space, and the essence of electromagnetic interactions, formulates Hamilton and Hamiltonian-Jacobi functions describing the free motion of an elementary particle and the system of elementary particles in a hydrogen atom, approximating elementary particles with a single spatial vortex. It is shown that the complex nutation and precession of a spatial vortex identified with an elementary particle can be identified with matter waves described by transverse de Broglie plane waves of classical quantum mechanics on the boundary hypersurface βϰβ, which also determines the limit of applicability of classical quantum mechanics, which reduces the complex trajectory of spatial vortices to the analysis of deformations on one of the boundary hypersurfaces.

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References

Dawydow, A. (1967). Mechanika Kwantowa. Warszawa: PWN.

Sobolewska, N. J., Sobolewska, J. P., Sobolewski, M. J., Sobolewski, M. A. i Sobolewski, D. S. (2020). New Generations of Rocket Engines. Journal of Advances in Physics, strony 322-346. doi:https://doi.org/10.24297/jap.v17i.8747

Sobolewska, N. J., Sobolewska, J. P., Sobolewski, M. J., Sobolewski, M. A. i Sobolewski, D. S. (2021). New Generations of Rocket Engines. LAP LAMBERT Academic Publishing.

Sobolewska, N. J., Sobolewska, J. P., Sobolewski, M. J., Sobolewski, M. A. i Sobolewski, D. S. (2022, 04 17). The Structure of Space and its Impact on Interplanetary Travel and Answers to Fundamental Cosmological Questions. JOURNAL OF ADVANCES IN PHYSICS, strony 53-100.

Sobolewska, N. J., Sobolewska, J. P., Sobolewski, M. J., Sobolewski, M. A., & Sobolewski, D. S. (2021). New Generations of Rocket Engines. Berlin: LAP LAMBERT Academic Publishing.

Sobolewski, D. S. (2016). Theory of Space. Cambridge: Cambridge International Science Ltd. and Viva Books Private Limited.

Sobolewski, D. S. (2017). Theory of Space. HTS High Technology Solutions.

Sobolewski, D. S. (2024). Theory of Space. HTS High Technology Solutions.

Sobolewski, M. J., Sobolewski, M. A. i Sobolewski, D. S. (2017, 07). Geometry of the Dark Matter and Preliminary Analysis of Alpha and Beta Photons’ Properties Based on Theory of Space. International Journal of Innovative Research in Science,.

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Published

2024-12-21

How to Cite

Sobolewski, D. S. (2024). Introduction to Quantum Mechanics in Four-Dimensional Space Based on the Theory of Space. JOURNAL OF ADVANCES IN PHYSICS, 22, 321–339. https://doi.org/10.24297/jap.v22i.9695

Issue

Vol. 22 (2024)

Section

Articles

License

Copyright (c) 2024 Dariusz Stanislaw Sobolewski

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.