Summary
The motion of a mass point in a central potential is considered. It is usually assumed that the projection of the angular momentum on the radius vector is equal to zero. It is shown that, if this assumption is relaxed, the angular part of the Hamiltonian becomes identical to the angular part of the monopole Hamiltonian given by Dirac.
Riassunto
Si considera il moto di un punto di massa in un Potenziale centrale. Si assume di solito che la proiezione dell’impulso angolare sul raggio vettore è uguale a zero. Si mostra che, se si abbandona questa ipotesi, la parte angolare dell’hamiltoniana diventa identica alla parte angolare dell’hamiltoniana di monopolo, data da Dirac.
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References
P. A. M. Dirac:Proc. Roy. Soc.,133 A, 60 (1931).
A. Frenkel and P. Hraskó:Ann. of Phys.,105, 288 (1977).
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Hraskó, P., Balog, J. Rotation symmetry in the Hamiltonian dynamics. Nuovo Cim 45, 239–254 (1978). https://doi.org/10.1007/BF02894683
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DOI: https://doi.org/10.1007/BF02894683