Published July 1, 2019 | Version v1
Journal article Metadata-only

Heisenberg uncertainty relation for relativistic electrons

Creators

  • 1. Center for Theoretical Physics, Polish Academy of Sciences Aleja Lotników 32/46, 02-668 Warsaw (Poland)
  • 2. Institute of Physics, Polish Academy of Sciences Aleja Lotników 32/46, 02-668 Warsaw (Poland)

Description

The Heisenberg uncertainty relation is derived for relativistic electrons described by the Dirac equation. The standard nonrelativistic lower bound 3/2ℏ is attained only in the limit and the wave function that reproduces this value is singular. At the other end, in the ultrarelativistic limit, the bound is the same as that found before for photons. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1367-2630/ab3076

Additional details

Identifiers

DOI
10.1088/1367-2630/ab3076;

Publishing Information

Journal Title
New Journal of Physics
Journal Volume
21
Journal Issue
7
Journal Page Range
[7 p.]
ISSN
1367-2630

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52029082
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
DIRAC EQUATION; ELECTRONS; PHOTONS; RELATIVISTIC RANGE; UNCERTAINTY PRINCIPLE; WAVE FUNCTIONS
Descriptors DEC
BOSONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FERMIONS; FIELD EQUATIONS; FUNCTIONS; LEPTONS; MASSLESS PARTICLES; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS