AtomicDensityMatrix`

Rank

Rank[tens]

returns the tensor rank of irreducible spherical tensor tens.

Rank[op]

returns the angular‐momentum quantum number corresponding to the dimension of operator op.

Rank[decomp]

returns the list of ranks of the tensors making up a spherical‐tensor decomposition decomp.

Rank[mat]

returns a matrix of lists of ranks for the decompositions making up a tensor‐decomposition matrix mat.

Details and Options

A rank- spherical tensor has components.
Rank assumes that a supplied operator acts on a rank- angular-momentum space. A rank- operator is a matrix.
Rank returns the rank of the top-level tensor for nested tensor structures.

Rank of a contravariant spherical tensor:

Of a covariant spherical-tensor operator:

Of an operator:

Of a contravariant spherical tensor decomposition:

Of a tensor decomposition matrix: