Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/35918
Type of publication: Article in other databases (S4);Straipsnis kitose duomenų bazėse (S4)
Field of Science: Physics (N002);Fizika (N002)
Author(s): Kamuntavičius, G;Kamuntavičius, Gintautas Pranciškus
Title: Relativistic dynamics of a quantum system
Is part of: Journal of applied mathematics and physics = Zeitschrift für angewandte Mathematik und Physik. Irvine, CA : Scientific Research Publishing Inc, 2017, Vol. 5, no. 7
Extent: p. 1478-1492
Date: 2017
Note: ISSN Online: 2327-4379
Keywords: Relativistic wave equations;Special relativity;Quantum mechanics;Solutions of wave equations: bound states
Abstract: In this paper, we examine quantum systems with relativistic dynamics. We show that for a successful description of these systems, the application of Ga-lilei invariant nonrelativistic Hamiltonian is necessary. To modify this Ha-miltonian to relativistic dynamics, we require precise relativistic kinetic ener-gy operators instead of nonrelativistic ones for every internal (Jacobi) coordi-nate. Finally, we introduce and investigate the Schrödinger equation with re-lativistic dynamics for two-particle systems with harmonic oscillator and Coulomb potentials
Internet: http://file.scirp.org/Html/6-1720914_77868.htm
http://file.scirp.org/Html/6-1720914_77868.htm
https://hdl.handle.net/20.500.12259/35918
Affiliation(s): Vytauto Didžiojo universitetas
Gamtos mokslų fakultetas
Fizikos katedra
Appears in Collections:1. Straipsniai / Articles
Universiteto mokslo publikacijos / University Research Publications

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