The Dirac particle on de Sitter background

Abstract

We show that the Dirac equation on de Sitter background can be analytically solved in a special static frame where the energy eigenspinors can be expressed in terms of usual angular spinors known from special relativity, and a pair of radial wave functions.

9 pages, Latex

References in corpus (1)

• The Operator Algebra of the Quantum Relativistic Oscillator

Cited by in corpus (22)

• Quasinormal modes of D-dimensional de Sitter spacetime
• Polarized Dirac fermions in de Sitter spacetime
• External symmetry in general relativity
• Dirac quasinormal modes of D-dimensional de Sitter spacetime
• Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
• The quantum theory of the free Maxwell field on the de Sitter expanding universe
• Quasinormal modes and stability of a five-dimensional dilatonic black hole
• Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes
• The quantum theory of scalar fields on the de Sitter expanding universe
• New Dirac quantum modes in moving frames of the de Sitter spacetime
• The normalized energy eigenspinors of the Dirac field on anti-de Sitter spacetime
• Approximative analytical solutions of the Dirac equation in Schwarzschild spacetime
• Remarks on the spherical waves of the Dirac field on de Sitter spacetime
• The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
• Discrete quantum modes of the Dirac field in $Ad{S}_{d+1}$ backgrounds
• Dirac fermion, cosmological event horizons and quantum entanglement
• Classical stability of black holes under massless Dirac perturbations
• Quasinormal frequencies of the Dirac field in the massless topological black hole
• Quantization of fields over de Sitter space by the method of generalized coherent states
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• The Dirac equation in D-dimensional spherically symmetric spacetimes
• Late time behavior of the massive Dirac field in D-dimensional Minkowski spacetime