Generalized Dirac Equation for a particle in a gravitational field

被引：0
作者：
Daniel Chemisana
Jaume Giné
Jaime Madrid
机构：
[1] Universitat de Lleida,Applied Physics Section of Environmental Science Department
[2] Universitat de Lleida,Departament de Matemàtica
来源：
General Relativity and Gravitation | 2021年 / 53卷
关键词：
Generalized Dirac equation; Generalized uncertainty principle; Modified Schwarzschild metrics; Relativistic quantum mechanics;
D O I：
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摘要：
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.
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  • [21] Farag Ali A(2016)Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays Ann. Phys. 374 162-2948
  • [22] Das S(1993)The algebraic structure of the generalized uncertainty principle Phys. Lett. B 319 83-1274
  • [23] Vagenas EC(2005)Minimal length and generalized Dirac equation Mod. Phys. Lett. A 20 3095-44
  • [24] Garay LJ(2005)Gravitational uncertainty and black hole remnants Mod. Phys. Lett. A 20 2937-3926
  • [25] Giné J(2004)Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem J. Phys. A: Math. Gen. 37 4267-13
  • [26] Guida R(2006)Lorentz-covariant deformed algebra with minimal length Czech J. Phys. 56 1269-100
  • [27] Konishi K(1999)Generalized uncertainty principle in quantum gravity from micro-black hole Gedanken experiment Phys. Lett. B 452 39-198
  • [28] Provero P(2003)Generalized uncertainty principle, extra-dimensions and holography Class. Quant. Gravit. 20 3915-undefined
  • [29] Hassanabadi H(2012)Free motion of a Dirac particle with a minimum uncertainty in position Rep. Math. Phys. 70 1-undefined
  • [30] Zarrinkamar S(2019)Relativistic generalized uncertainty principle Ann. Phys. 405 92-undefined
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