Quantum equations for massless particles of any spin and for massive spin one-half particles are considered in curved space-times. It is demonstrated that in stationary axially symmetric space-times the angular wave functions up to a normalization function are the same as in a Minkowski space-time. The radial wave functions satisfy second order nonhomogeneous differential equations with three nonhomogeneous terms which depend in a unique form on the ratio of time to space curvatures. For a Dirac spin one-half particle, in addition to these three terms a fourth term which depends on the particle rest mass is added.
|Journal||Journal of Physics: Conference Series|
|State||Published - 1 Jan 2023|
|Event||13th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2022 - Prague, Czech Republic|
Duration: 5 Jun 2022 → 9 Jun 2022
ASJC Scopus subject areas
- Physics and Astronomy (all)