.
The lorentz matrices in bispinor space, being specified in any
Majorana basis, turn to be real-valued, therefore equations for
and
are not mixed by local Lorentz
transformations associated with tetrad changes
in curved space. The set of all Majorana bases is looked through in detail,
and 17-parametric transformation
referring spinor basis to any Majorana's is derived.
Several the simplest examples of choosing parameters
are given, they correspond to widely
used Majorana representations.One special case of electrically neutral particle with
non-vanishing magnetic moment is discussed. Its wave function
must be complex-valued. In other words, real nature of the wave
function of the particle is equivalent to requirement - all
electromagnetic characteristics of the particle, including
electric charge, must vanish.
Key words: Majorana fermion, curved space-time