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Novel Outlook on the Eigenvalue Problem for the Orbital Angular Momentum Operator
George Japaridze, Anzor Khelashvili, Koba Turashvili
Based on the novel prescription for the power of a complex number, a new expression for the eigenfunction of the operator of the third component of the angular momentum is presente…
Critical comments on the quantization of the angular momentum: II. Analysis based on the requirement that the eigenfunction of the third component of the operator of the angular momentum must be a single valued periodic function
G. Japaridze, A. Khelashvili, K. Turashvili
We discuss the requirement of single valuedness and periodicity of eigenfunction of the third component of the operator of angular momentum. This condition, imposed on a non observ…
Critical comments on quantization of the angular momentum: I. Analysis based on the physical requirement on eigenfunctions and on the commutation relations
G. Japaridze, A. Khelashvili, K. Turashvili
Eigenfunctions and eigenvalues of the operator of the square of the angular momentum are studied. It is shown that neither from the requirement for the eigenfunctions be normalizab…