1305.6378 (Alexander J. Silenko)

Scalar particle in general inertial and gravitational fields and
conformal invariance revisited    [PDF]

Alexander J. Silenko

The new manifestation of conformal invariance for a massless scalar particle in a non-Minkowskian spacetime is found. Conformal transformations conserve the Hamiltonian and wave function in the Foldy-Wouthuysen representation. Similarity of conformal transformations for massless scalar and Dirac particles is proved. Exact FW Hamiltonians are derived for both massive and massless scalar particles in general static inertial and gravitational fields and for particles in a frame rotating in the field of a rotating source. The latter case covers an observer on the ground of the Earth or on a satellite and takes into account not only the rotation but also the Lense-Thirring effect. High-precision formulas are obtained for an arbitrary spacetime metric. General quantum-mechanical equations of motion are derived. Their classical limit coincides with corresponding classical equations.

View original: http://arxiv.org/abs/1305.6378