Effects of Gravitational Waves on Dirac Particles in Low-Energy Limit

by Mr Nontapat Wanwieng

Friday 25 Sep 2020, 14:00 → 15:00 Asia/Bangkok

Cassiopeia (NARIT)

We present a partial combination of general relativistic framework to the relativistic quantum mechanics of spin-1/2 particles for a study of the gravitational effects in quantum mechanical phenomena. We focus on the case of Dirac particles under the influence of gravitational waves (GWs) in low-energy limit. From our approach, GWs are modeled simply as a plane waves which described by Linearized Einstein Field Equations (LEFEs) and Dirac particles are, of course, described by Dirac Equation (DE). To incorporate the effects of gravity into the Dirac theory in an appropriate manner, it is assumed to be sufficient to invoke the principle of minimal coupling, promoting the Dirac equation to be valid in general curved spacetime. We also introduce electromagnetic interaction through the minimal coupling as well. Then we derive the Hamiltonian, which determines dynamics of our system in a non-relativistic limit with relativistic correction terms. Consequently, we are able to use the standard Perturbation Theory (PT) to study effects due to gravitational wave in various aspects.