Abstract
After a short presentation of the toroidal moments and the necessity to introduce them in the multipole expansion of current density, the correspondent quantum operators are introduced. The toroidal momentum operator (the quantum operator corresponding to the lowest-order toroidal multipole) is analysed. A natural set of coordinates is found. Using this set of coordinates it becomes possible to find the eigenvalues and a complete orthonormal set of eigenfunctions of the projection of this operator on the Oz axis.
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