Quantum evolution in terms of mechanical motion

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Abstract

Quantum tunneling is considered from the point of view of local realism. It is concluded that a quantum object tunneling through a potential barrier cannot be interpreted as a point-like particle because such an interpretation generates a contradiction with the impossibility of faster-than-light motion. Such a contradiction does not arise if a quantum object is considered as a continuous medium formed by the fields of matter. The dynamics law of the mechanical motion of these matter fields is derived from the quantum evolution law in the path integral form. The analysis of tunneling shows that this dynamics law has a form of the principle of least action on a complex time variable. The approach used here is not only a physical interpretation of quantum tunneling consistent with special relativity but is also applicable to the description of a wide range of quantum phenomena for which traditional research methods are impracticable.

About the authors

Alexey Yu. Samarin

Samara State Technical University

Author for correspondence.
Email: samarin.ay@samgtu.ru
ORCID iD: 0000-0001-7640-3875
SPIN-code: 1302-4639
Scopus Author ID: 56669973500
http://www.mathnet.ru/rus/person42489

Cand. Phys. & Math. Sci.; Associate Professor; Dept. of General Physics and Physics of Oil and Gas Production

Russian Federation, 244, Molodogvardeyskaya st., Samara, 443100, Russian Federation

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