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Derivation of Dirac equation from the stochastic optimal control principles of quantum mechanics.


ABSTRACT: In this paper, we present a stochastic approach to relativistic quantum mechanics. We formulate the three fundamental principles of this theory and derive the Dirac equations based on them. This approach enables us to bring more insight into the nature of Dirac's spinors. Furthermore, we provide a physical interpretation of the stochastic optimal control theory of quantum mechanics.

SUBMITTER: Yordanov V 

PROVIDER: S-EPMC10948848 | biostudies-literature | 2024 Mar

REPOSITORIES: biostudies-literature

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Derivation of Dirac equation from the stochastic optimal control principles of quantum mechanics.

Yordanov Vasil V  

Scientific reports 20240318 1


In this paper, we present a stochastic approach to relativistic quantum mechanics. We formulate the three fundamental principles of this theory and derive the Dirac equations based on them. This approach enables us to bring more insight into the nature of Dirac's spinors. Furthermore, we provide a physical interpretation of the stochastic optimal control theory of quantum mechanics. ...[more]

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2017-09-07 | GSE80016 | GEO