Minimum uncertainty wave packet in relativistic quantum mechanics Journal Articles

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, Yukihisa
• Toyama, FM

status

• published 

publication date

• February 1, 2010

has subject area

• 01 Mathematical Sciences (FoR)
• 02 Physical Sciences (FoR)
• General Physics (Science Metrix)

published in

• American Journal of Physics  Journal

keywords

• DIRAC-EQUATION
• Dirac equation
• Education & Educational Research
• Education, Scientific Disciplines
• FERMION NUMBER 1/2
• OSCILLATOR
• Physical Sciences
• Physics
• Physics, Multidisciplinary
• SOLITONS
• STATE
• SUPERSYMMETRY
• Schrodinger equation
• Science & Technology
• Social Sciences
• harmonic oscillators
• physics education
• relativistic quantum mechanics
• wave functions

Digital Object Identifier (DOI)

• 10.1119/1.3238469

start page

• 176

end page

• 180

volume

• 78

issue

• 2