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Open Quantum Systems Decoherence

Quantum relativistic equation for a probability amplitude

arXiv
Authors: Yu. M. Poluektov

Year

2023

Paper ID

52754

Status

Preprint

Abstract Read

~2 min

Abstract Words

62

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • The relativistic quantum equation is proposed for the complex wave function, which has the meaning of a probability amplitude.

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