Inertial effects of a Dirac particle

The effect of inertia on the Dirac electron, the spin Hall current and the momentum space Berry curvature

“…SHE occurs due to the spin orbit coupling(SOC) of electron with impurities is known as extrinsic, whereas the intrinsic SHE is due to SOC in band structure of semiconductor without the presence of disorder, this become an active area of research [8][9][10][11][12][13][14]. However, though the studies on the inertial effect of electrons has a long standing history [15][16][17][18] but the contribution of the spin-orbit interaction (SOI) in accelerating frames has not much been addressed in the literature. Very recently, there has been an elegant attempt to extend the theory of spin current in the inertial frame [19].…”

Quantum Systems in Weak Gravitational Fields

“…The term − ω · σ 2 was found by Mashhoon. Hehl and Ni [9] re-derived all terms and also predicted the existence of the fourth term (a kinetic energy effect) and of the last term (spin-orbit coupling). Equations (37) and (38) can also be obtained by isolating the quantum phase in the wave function.…”

“…Spin-inertia and spin-gravity interactions are the subject of numerous theoretical [9,10,11,12,13,14,15,16] and experimental efforts [17,18,19,20,21]. At the same time precise Earth-bound and near space experimental tests of fundamental theories require that inertial effects be identified with great accuracy.…”

Rotational Doppler effect in magnetic resonance

“…͑7͒ can be also formally derived as a nonrelativistic limit of the Dirac equation written in the metric of the rotating coordinate frame. 23 The answer for the corresponding Schrödinger equation reads…”