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Complex scalar relativistic field as a probability amplitude

Quantum Physics 2026-02-02 v2 High Energy Physics - Theory

Abstract

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.

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Cite

@article{arxiv.2601.10302,
  title  = {Complex scalar relativistic field as a probability amplitude},
  author = {Yu. M. Poluektov},
  journal= {arXiv preprint arXiv:2601.10302},
  year   = {2026}
}

Comments

11 pages

R2 v1 2026-07-01T09:05:41.441Z