Generalized normalized irreducible tensorial matrices (GNITM) are
obtained by symmetry-adapting the
matrix basis of a matrix space that is invariant to reducible
representations of a unitary group. Like previously
defined normalized irreducible tensorial matrices (NITM), the GNITM are
orthonormal under the trace and
transform irreducibly under G. The GNITM are useful for
constructing matrices having specific behavior
under G. In particular, an Hamiltonian matrix is invariant under
the symmetry group of the corresponding
physical system and is expressed as a linear combination of invariant
GNITM. The orbital model of ammonia
is treated as an example.
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