Research article

Relativistic additions to the formalism of quantum mechanics

Kolisnyak Denis

kolisnjakde@yandex.ru

kolisnjakde@yandex.ru

About Author

2006: *Chelyabinsk state university , *Faculty of Physics, Department of Theoretical Physics, Bachelor's degree in physics (Dissertation work title: "Dynamics of a classical bosonic string in an external field")

2008: *Chelyabinsk state university , *Faculty of Physics, Department of Theoretical Physics, Master's degree in physics (Dissertation work title: "The effect of dark energy on the rarefaction wave dynamics in collapsing clouds")

2008-2012:

• Courses of lectures on Electrodynamics of vacuum, electrodynamics of a continuous medium, mechanics of a continuous medium.

• Conducting practical classes on vacuum electrodynamics, continuum electrodynamics, continuum mechanics.

• Research interests: Field theory, Special relativity, General relativity, Quantum field theory, Formalism of quantum mechanics.

In the question of the interpretation of the formalism of quantum mechanics has not put an end by the scientific community. Or, to put it simply, no one knows what the wave function is as a physical phenomenon.

There are known attempts to consider quantum wave as a physical wave, from such attempts were born, for example, such obsolete terms as pilot wave and wave packet. But these attempts did not achieve success, and today the wave function is an exclusively mathematical object for the physical community.

Any physicist will start discoursing about probabilities hearing it and, of course, these discussions will lead to the well-known Copenhagen interpretation of the wave function. However only the very fact of the presence of several interpretations already speaks of some ambiguity of such reasoning. This means that this issue is open for further research.

Slightly exaggerating, we can say that in the work "Relativistic additions to the formalism of quantum mechanics" I tried to answer the question of whether it is possible to discern the real physical phenomenon behind the wave function. To do this, Lorentz transformations are applied to the eigenvalues of dynamic variables related to operators of physical quantities. This approach leads to a model where we can see some oscillatory system behind the wave function, study its properties, and develop the description of quantum phenomena in a slightly different way. Based on this model, a method is proposed for the obtaining the Dirac equations relativistic quantum mechanics.

For the first time, the study took on a finished form in November 2016, when the basic idea was formulated and calculations were performed for a non-relativistic description. The relativistic part was formulated in July 2019. Attempts to publish the manuscript in scientific journals were made in 2016-2022, but were unsuccessful, so the work is published here in 2022.

Special thanks to my wife Ksenia for her support and invaluable contribution to the preparation of the manuscript for publication.

There are known attempts to consider quantum wave as a physical wave, from such attempts were born, for example, such obsolete terms as pilot wave and wave packet. But these attempts did not achieve success, and today the wave function is an exclusively mathematical object for the physical community.

Any physicist will start discoursing about probabilities hearing it and, of course, these discussions will lead to the well-known Copenhagen interpretation of the wave function. However only the very fact of the presence of several interpretations already speaks of some ambiguity of such reasoning. This means that this issue is open for further research.

Slightly exaggerating, we can say that in the work "Relativistic additions to the formalism of quantum mechanics" I tried to answer the question of whether it is possible to discern the real physical phenomenon behind the wave function. To do this, Lorentz transformations are applied to the eigenvalues of dynamic variables related to operators of physical quantities. This approach leads to a model where we can see some oscillatory system behind the wave function, study its properties, and develop the description of quantum phenomena in a slightly different way. Based on this model, a method is proposed for the obtaining the Dirac equations relativistic quantum mechanics.

For the first time, the study took on a finished form in November 2016, when the basic idea was formulated and calculations were performed for a non-relativistic description. The relativistic part was formulated in July 2019. Attempts to publish the manuscript in scientific journals were made in 2016-2022, but were unsuccessful, so the work is published here in 2022.

Special thanks to my wife Ksenia for her support and invaluable contribution to the preparation of the manuscript for publication.

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