RT info:eu-repo/semantics/article
T1 Dirac equation with space contributions embedded in a quantum-corrected gravitational field
A1 Baradaran, Marzieh
A1 Nieto Calzada, Luis Miguel
A1 Zarrinkamar, Saber
K1 Curved spacetime
K1 Dirac equation
K1 Quantum-corrected gravitational interaction
K1 Multipole expansion
K1 22 Física
AB The Dirac equation is considered with the recently proposed generalized gravitational interac-tion (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum correctionsto the classical potential. The general idea in choosing the metric is that the spacetimecontributions are contained in an external potential or in an electromagnetic potential whichcan be considered as a good basis for future studies of quantum physics in space. The formsconsidered for the scalar potential and the so-called vector (magnetic) potential, can be viewedas the multipole expansion of these terms and therefore the approach includes a simultaneousstudy of multipole expansions to both fields. We also comment on the special case of theproblem with merely a relativistic correction in terms of Heun functions. The impossibilityof solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed, and finally the Bethe-ansatz approachis proposed to overcome this challenging problem
PB Elsevier
SN 0003-4916
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/76039
UL https://uvadoc.uva.es/handle/10324/76039
LA eng
NO Annals of Physics, 2025, vol.478, p. 170033
NO Producción Científica
DS UVaDOC
RD 21-jun-2025