Quantum relativistic equation for a probability amplitude
Quantum Physics
2023-12-08 v1 Data Analysis, Statistics and Probability
Abstract
The relativistic quantum equation is proposed for the complex wave function, which has the meaning of a probability amplitude. The Lagrangian formulation of the proposed theory is developed. The problem of spreading of a wave packet in an unlimited space is solved. The relativistic correction to the energy levels of a harmonic oscillator is found, leading to a violation of their equidistance.
Cite
@article{arxiv.2312.04212,
title = {Quantum relativistic equation for a probability amplitude},
author = {Yu. M. Poluektov},
journal= {arXiv preprint arXiv:2312.04212},
year = {2023}
}
Comments
10 pages, 1 figure