Basic quantum Hamiltonian's relativistic corrections
Mathematical Physics
2013-04-01 v2 math.MP
Quantum Physics
Abstract
After analyzing Dirac's equation, one can suggest that a well-known quantum-mechanical momentum operator is associated with relativistic momentum, rather than with non-relativistic one. Consideration of relativistic energy and momentum expressions allows us to define the non-relativistic, relativistic and pseudo-relativistic (present in Schr\"odinger equation) kinetic energy operators. Consequences of kinetic energy operator's correction for spectra of basic quantum Hamiltonians are investigated. In some cases this correction can produce remarkable spectra modifications.
Cite
@article{arxiv.1302.0491,
title = {Basic quantum Hamiltonian's relativistic corrections},
author = {Gintautas P. Kamuntavičius},
journal= {arXiv preprint arXiv:1302.0491},
year = {2013}
}
Comments
14 pages, LaTeX; Corrected typos