Published June 1, 2021 | Version v1
Journal article Metadata-only

Dirac equation from the extended uncertainty principle

Creators

  • 1. Applied Physics section of Environ. Sci. Dept., Universitat de Lleida, Av. Jaume II, 69 25001 Lleida (Spain)
  • 2. Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69 25001 Lleida, Catalonia (Spain)

Description

The existence of a minimal momentum modifies the Heisenberg's uncertainty principle, which implies modifications of the Dirac equation. In this work, we study the influence of this minimal uncertainty in the particle's momentum to deduce a generalized Dirac equation and solve its eigenvalue problem for a free particle and a particle within a gravitational field. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1402-4896/abf617

Additional details

Identifiers

DOI
10.1088/1402-4896/abf617;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
96
Journal Issue
6
Journal Page Range
[7 p.]
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53064090
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIRAC EQUATION; EIGENVALUES; GRAVITATIONAL FIELDS; UNCERTAINTY PRINCIPLE
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS