We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Generalized Dirac Equation for a particle in a gravitational field.
- Authors
Chemisana, Daniel; Giné, Jaume; Madrid, Jaime
- Abstract
The existence of a minimal observable length modifies the Heisenberg's uncertainty principle at Plank scales and leads to some modifications of the Dirac equation. Here, we consider the generalized uncertainty principle (GUP) theory in order to deduce a generalized Dirac equation and solve its eigenvalue problem for a particle within a gravitational field created by a central mass. We use two different approximations to tackle the problem, based on the Schwarzschild and a modified Schwarzschild metrics.
- Subjects
DIRAC equation; GRAVITATIONAL fields; HEISENBERG uncertainty principle; RELATIVISTIC quantum mechanics; PROBLEM solving
- Publication
General Relativity & Gravitation, 2021, Vol 53, Issue 7, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-021-02834-y