Oscillator model for the relativistic fermion-boson system
D. A. Kulikov, R. S. Tutik
TL;DR
This paper introduces an exactly solvable relativistic two-body quantum model involving spin-1/2 and spin-0 particles with oscillator interactions, providing explicit wave functions and energy level structures.
Contribution
It presents a novel solvable model for a relativistic fermion-boson system with oscillator-type interactions, including analytical solutions and energy level analysis.
Findings
Analytical wave functions derived for the model
Energy levels characterized and ordered
Model incorporates Lorentz-vector and -tensor potentials
Abstract
The solvable quantum mechanical model for the relativistic two-body system composed of spin-1/2 and spin-0 particles is constructed. The model includes the oscillator-type interaction through a combination of Lorentz-vector and -tensor potentials. The analytical expressions for the wave functions and the order of the energy levels are discussed.
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