Alexander Silenko
Conformal invariance for scalar and Dirac particles in Riemannian spacetimes: new results
New conformal symmetries of relativistic wave equations for scalar and Dirac particles interacting with electromagnetic fields in Riemannian spacetimes are found. Specific properties of Hamiltonians and wave functions for massless and massive particles in the Foldy-Wouthuysen representation are discovered. Similarity of manifestations of conformal invariance for scalar and Dirac particles is proved.