L'equazione del secondo ordine per una particella di Dirac-Pauli

Riassunto

Si studia l'equazione del secondo ordine per una particella diDirac-Pauli. Si mostra come la definizione di un impulso di dipolo magnetico e di dipolo elettrico permetta di dare una interpretazione intuitiva ai vari termini che figurano nell'equazione del secondo ordine. Si deduce pure una equazione approssimata fino ai termini in (v/c)³ valida per le componenti maggiori della funzione d'onda della particella.

Summary

The second order wave equation for theDirac-Pauli particle in case of stationary motions is studied, because of the great importance assumed by it in the problem of the magnetic moment of the deuteron.

It is shown that thePauli term in the first order equation may be accounted for, by adding to the operator representing the mechanical and electric moment, two terms which we can refer to, as magnetic and electric dipole moment viz. λ/cβσ₀ H,iλ/cβE; then theDirac-Pauli equation, takes the form (3). Starting from this, the second order equation, can be shown to assume the form (5) which permits a very simple interpretation of the total energy of the particle, as arising from the interaction of the various moments (i. e. mechanical, electric, and dipole) with each other.

The aproximatePauli equation for the great components, exact up to terms of order (v/c)³ is written down; in this case also, one can see how different are the relativistic corrections arising from the charge magnetic moment and the intrinsic one.