Author(s)

Gintautas P. Kamuntavičius^1*, G. Kamuntavičius²

¹Department of Physics, Vytautas Magnus University, Kaunas, Lithuania.
²Christ’s college, University of Cambridge, Cambridge, UK.

In this paper, we examine quantum systems with relativistic dynamics. We show that for a successful description of these systems, the application of Galilei invariant nonrelativistic Hamiltonian is necessary. To modify this Hamiltonian to relativistic dynamics, we require precise relativistic kinetic energy operators instead of nonrelativistic ones for every internal (Jacobi) coordinate. Finally, we introduce and investigate the Schrödinger equation with relativistic dynamics for two-particle systems with harmonic oscillator and Coulomb potentials.

Special Relativity, Quantum Mechanics, Relativistic Wave Equations, Solutions of Wave Equations: Bound States

Kamuntavičius, G. and Kamuntavičius, G. (2017) Relativistic Dynamics of a Quantum System. Journal of Applied Mathematics and Physics, 5, 1478-1492. doi: 10.4236/jamp.2017.57121.