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arXiv · 2312.04212

Quantum relativistic equation for a probability amplitude

Yu. M. Poluektov
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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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Yu. M. Poluektov. 2023-12-07. Quantum relativistic equation for a probability amplitude. https://arxiv.org/abs/2312.04212

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