Quantum relativistic equation for a probability amplitude

• URL: http://arxiv.org/abs/2312.04212v1
• Date: Thu, 7 Dec 2023 10:55:27 GMT
• Title: Quantum relativistic equation for a probability amplitude
• Authors: Yu.M. Poluektov
• Abstract summary: The relativistic quantum equation is proposed for the complex wave function, which has the meaning of a probability amplitude. The problem of spreading of a wave packet in an unlimited space is solved.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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