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- Title
QUANTUM RELATIVISTIC EQUATION FOR A PROBABILTY AMPLITUDE.
- Authors
Poluektov, Yu. M.
- 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.
- Subjects
WAVE packets; ENERGY levels (Quantum mechanics); HARMONIC oscillators; RELATIVISTIC energy; EQUATIONS; QUANTUM mechanics
- Publication
Algebras, Groups & Geometries, 2024, Vol 40, Issue 1, p61
- ISSN
0741-9937
- Publication type
Article
- DOI
10.29083/AGG.40.0l.2024/SC61