Journal article
Minimum uncertainty wave packet in relativistic quantum mechanics
Abstract
In nonrelativistic quantum mechanics in one dimension a wave packet can be constructed for which the minimum uncertainty relation for position and momentum, ΔxΔp=ℏ/2, holds exactly. The wave function of the wave packet is Gaussian and satisfies the Schrödinger equation for a harmonic oscillator potential. We illustrate a similar situation in relativistic quantum mechanics for the one-dimensional Dirac equation.
Authors
Nogami Y; Toyama FM
Journal
American Journal of Physics, Vol. 78, No. 2, pp. 176–180
Publisher
American Association of Physics Teachers (AAPT)
Publication Date
February 1, 2010
DOI
10.1119/1.3238469
ISSN
0002-9505