Member

Il Nuovo cimento della societ? italiana di fisica. B, General physics, relativity, astronomy and mathematical physics and methods (ISSN 1594-9982), V121, N6, pp. 563-569 (2006). - http://cat.inist.fr/?aModele=afficheN&cpsidt=18463602

It is predicted, as a consequence of a new correction to the Dirac equation, that the electron gyromagnetic ratio g_L associated with the orbital angular momentum L, is less than one. Calculations to first-order approximations show that g_L = 1 - d, where d = 0.0016. This may be contrasted with an earlier observation that to first-order approximations, the electron gyromagnetic ratio corresponding to the spin magnetic moment is g_s = 2(1 + d). It is emphasized that d, the anomalous part of the gyromagnetic ratios, calculated using the corrected Dirac equation is independent of the nuclear mass, and is therefore applicable to both atomic and unbound electrons. An experimental test of this new result is urged, in view of its physical significance for the relativistic quantum theories.

Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics (ISSN 1124-1888), V117, N8, pp. 841-848. http://cat.inist.fr/?aModele=afficheN&cpsidt=14605394

The gyromagnetic ratio g of an electron is calculated by taking the non-relativistic limit of a newly proposed extension of the Dirac Hamiltonian coupled to a magnetic field. It is observed that the calculated g is greater than 2; the Dirac theory had predicted that g = 2 in sharp contradiction with accurate experimental observations. The additional quantity (g - 2)/2 d (1.6 x 10^-3) is shown here to be due to an extra term which appears in the reduced Hamiltonian, as a consequence of the modification of the rest energy. No divergences are encountered in the calculations described.

An additional term introduced in a recent modification of the Dirac theory has been shown to produce interesting consequences. Physical quantities, such as the gyromagnetic ratio and the Lamb-shift, which the Dirac equation could not adequately account for, have been calculated (approximately). Though these quantities are obtainable from relativistic QED with higher accuracies, the greater advantage of the modified Dirac equation is exhibited in the consistent calculation of the precessional frequencies of the helicity and angular momenta.