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quant-ph2026

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

N. L. Chuprikov

The paper reformulates the Klein‑Gordon‑Fock equation as a one‑particle relativistic quantum mechanics, providing a Hermitian Hamiltonian in spinor space and a corresponding one‑co…

quant-ph2026

Two gaps in the axiomatics of quantum mechanics

N. L. Chuprikov

This paper identifies and fixes two gaps in the axiomatics of modern quantum mechanics. The first arises from the unjustified application of the superposition principle in modern q…

quant-ph2026

The deterministic dynamics of a single-particle quantum ensemble is equivalent to the stochastic one due to the indistinguishability of quantum particles

N. L. Chuprikov

It is shown that the wave function describing the pure state of a single-particle quantum ensemble, in addition to statistical restrictions, imposes restrictions on the particle mo…

physics.gen-ph2026

Dirac theory as a one-particle relativistic quantum mechanics in the space of unit two-component spinors

N. L. Chuprikov

Using the example of a Dirac particle in external static fields, Dirac theory is reformulated as a one-particle quantum theory in the space of normalized two-component spinors. In…

physics.gen-ph2026

Asymptotes of non-stationary solutions of the Schrödinger equation for a particle interacting with a one-dimensional -potential

N. L. Chuprikov

It is shown that non-stationary solutions of the Schrödinger equation, which describes the quantum dynamics of a particle in the field of a one-dimensional delta potential (1DDP),…