The Wigner's group projector technique, a
fundamental tool for application of symmetry in physics, involves the summation
over group elements. Therefore it referes to finite (and compact) groups.
MGPT uses the formalism of the quantum distant correlations to deal with
the general case (e.g. infinite discrete groups in solid state physics
and Lie groups in particle physics, infinite dimensional induced representations).
Interrelated with differential geometrical objects, MGPT can be
applied to gauge groups.
Dealing with generators and pulled down induced representations only, MGPT is especially powerful in computer implementations: physical properties of the systems with various symmetries are efficiently studied. |