1998/12/01 by В. М. Редьков, V. M. Red'kov, Red'kov, V. M. · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9812002
27 pages, Latex209
arxiv created 1998/12/01 · openalex publication_date 1998/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some attention in the literature has been given to the case of a particle of spin 1/2 on the background of the external monopole potential. Some aspects of this problem are reexamined here. The primary technical novelty is that the tetrad generally relativistic method of Tetrode-Weyl-Fock-Ivanenko for describing a spinor particle is exploited. The choice of the formalism has turned out to be of great fruitfulness for examining the system. It is matter that, as known, the use of a special spherical tetrad in the theory of a spin 1/2 particle had led Schrodinger to a basis of remarkable features. The basis has been used with great efficiency by Pauli in his investigation on the pro- blem of allowed spherically symmetric wave functions in quantum mechanics. For our purposes, just several simple rules extracted from the much more com- prehensive Pauli's analysis will be quite sufficient; those are almost mnemo- nic working regulations. So, one may remember some very primary facts of D- functions theory and then produce automatically proper wave functions. It seems rather likely, that there may exist a generalized analog of such a re- presentation for J(i)-operators, that might be successfully used whenever in a linear problem there exists a spherical symmetry, irrespective of the con- crete embodiment of such a symmetry. In particular, the case of electron in the external Abelian monopole field completely come under the Sch-Pau method.