Curved-spacetime dynamics of spin-$\frac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation

Abstract

We investigate the dynamics of spin-$\frac{1}{2}$ particles that are freely propagating in superposed states in curved spacetime. We first make use of a Wentzel-Kramers-Brillouin approximation of the Dirac equation in curved spacetime to extract the corresponding Mathisson-Papapetrou-Dixon equations that describe the deviation from geodesic motion as well as the spin precession of such particles. We then discuss, in light of our results, the case of flavour neutrinos which are, by nature, a superposition of mass eigenstates.

16 pages, no figures. Matches the published version

References in corpus (13)

• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Bobbing and Kicks in Electromagnetism and Gravity
• Screened Scalar Fields in the Laboratory and the Solar System
• Semiclassical analysis of Dirac fields on curved spacetime
• Dirac equations in curved space-time versus Papapetrou spinning particles
• Neutrino spin oscillations in conformally gravity coupling models and quintessence surrounding a black hole
• Neutrino flavor oscillations in a rotating spacetime
• Wave packet treatment of neutrino flavor oscillations in various spacetimes
• Neutrino spin and flavor oscillations in gravitational fields
• Revisiting the Schrödinger-Dirac equation
• Plane-wave and wavepacket neutrino flavor oscillations in vacuum in conformal coupling models
• Neutrino spin oscillation in screening models revisited
• Neutrino flavor oscillations inside matter in conformal coupling models

Cited by in corpus (3)

• Spin oscillations of neutrinos scattered by the supermassive black hole in the galactic center
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra
• Dynamics of charged spin-$\frac{1}{2}$ particles in superposed states minimally coupled to electromagnetism in curved spacetime within the WKB approximation