Complex scalar relativistic field as a probability amplitude

Fuente: arXiv
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Main Author: Poluektov, Yu. M.
Format: Preprint
Published: 2026
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author Poluektov, Yu. M.
author_facet Poluektov, Yu. M.
contents A relativistic equation for a neutral complex field as a probability amplitude is proposed. The continuity equation for the probability density is obtained. It is shown that there are two types of excitations of this field, which describe particles with positive energy and different dispersion laws. Based on the Lagrangian formalism, conservation laws are obtained. The transition to secondary quantization is considered.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10302
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Complex scalar relativistic field as a probability amplitude
Poluektov, Yu. M.
Quantum Physics
High Energy Physics - Theory
A relativistic equation for a neutral complex field as a probability amplitude is proposed. The continuity equation for the probability density is obtained. It is shown that there are two types of excitations of this field, which describe particles with positive energy and different dispersion laws. Based on the Lagrangian formalism, conservation laws are obtained. The transition to secondary quantization is considered.
title Complex scalar relativistic field as a probability amplitude
topic Quantum Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2601.10302