Common Features of Free Particle Wave Functions in Curved Space-times

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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.

Original languageEnglish
Article number012003
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 1 Jan 2023
Event13th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2022 - Prague, Czech Republic
Duration: 5 Jun 20229 Jun 2022

ASJC Scopus subject areas

  • General Physics and Astronomy


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