Complex scalar relativistic field as a probability amplitude
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.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Relativity and Gravitational Theory
Quantum Mechanics and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint