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arXiv · 2601.10302

Complex scalar relativistic field as a probability amplitude

Yu. M. Poluektov
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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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Yu. M. Poluektov. 2026-01-15. Complex scalar relativistic field as a probability amplitude. https://arxiv.org/abs/2601.10302

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