Bohr-Sommerfeld Theory of the Magnetic Monopole with Quasi-Confinement

Physics – General Physics

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4 pages, no figures

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In this work we consider the attractive classical magnetic force between two moving electrical charges where, in the first case, one or, in the second case, both moving electric charges are formally changed by one or two magnetically charged massive magnetic monopoles. In the first case we obtain a system, simply called magnetic monopole "atom", consisting of the practically standing, massive magnetic monopole as the "nucleus" and electrically charged particle with small mass rotating around magnetic monopole. Equivalence of mentioned magnetic force with centrifugal force, after application of the Bohr-Sommerfeld angular momentum quantization postulate, implies a relation between electric and magnetic charge practically identical to the Dirac theory of the magnetic monopole. In the second case we obtain a system, simply called magnetic monopole "rotator", consisting of two monopoles rotating around their mass center. Equivalence of mentioned magnetic force with centrifugal force, after application of the Bohr-Sommerfeld total angular momentum quantization postulate, yields "rotator" total energy spectrum. Energy of the total separation of monopoles equals relativistic rest energy of the single monopole and this fact is called magnetic monopole half-confinement or quasi-confinement (in a conceptual analogy with quark theory). Finally we roughly estimate magnetic monopole mass that is 18769 (quadrate of the inverse value of the fine structure constant) times larger than electron mass.

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