Journal article
Harmonic oscillators in relativistic quantum mechanics
Abstract
For the Dirac equation in one space dimension, we examine the possibility of harmonic oscillator (HO) potentials. A HO potential is such that it has only bound states and the energy levels are equally spaced. Regarding their Lorentz transformation properties, there are three types of potentials for the Dirac equation: vector, scalar, and pseudoscalar. HO potentials are possible for the scalar and pseudoscalar types, but not for the vector type. …
Authors
Toyama FM; Nogami Y
Journal
Physical Review A, Vol. 59, No. 2, pp. 1056–1062
Publisher
American Physical Society (APS)
Publication Date
February 1, 1999
DOI
10.1103/physreva.59.1056
ISSN
2469-9926