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arXiv · 2607.26431

The Klein-Gordon-Fock theory as a one-particle relativistic quantum mechanics

N. L. Chuprikov
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Abstract

The Klein-Gordon-Fock (KGF) theory with the vector potential is presented as a one particle relativistic quantum mechanics (QM). First, the KGF equation is written in a Hamiltonian form, in spinor space; unlike the Feshbach-Villars approach, the Hamiltonian here is strictly Hermitian. Then this equation is rewritten for a one-component wave function. Expressions for the Hamiltonian and other observables' operators acting in the space of one-component wave functions are presented. The nonrelativistic and ultrarelativistic limits of these expressions are considered. A general solution to the KGF equation describing a free particle is presented.

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N. L. Chuprikov. 2026-07-29. The Klein-Gordon-Fock theory as a one-particle relativistic quantum mechanics. https://arxiv.org/abs/2607.26431

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