d and f Electrons in a qp-Quantized Cubical Field

A procedure for qp-quantizing a crystal-field potential V with an arbitrary symmetry G is developed. Such a procedure is applied to the case where V involves cubic components (G = 0) of the degrees 4 and 6. This case corresponds to d and f electrons in a qp-quantized cubical potential. It is shown that the qp-quantization of the considered cubical potential is equivalent to a symmetry breaking of type O → D$\text{}_{4}$. A general conjecture about this symmetry breaking phenomenon is given.