On Quantized Quantum-Analog Rotation Functions

Abstract

Quantized quantum-analog rotation function (QQRF), which the present author introduced previously as quantized version of quantum-analog rotation function, are discussed in detail. It is shown that the QQRF is describable as a coupled pair of basis operators. The QQRF has various symmetries, and its form is preserved under several kinds of transformations. Emphasis is put on expanding a product of QQRF’s as a sum of QQRF’s.