Summary
It is shown that in a representation where, besides angular momentum and parity, the radial velocities of two Dirac particles are also diagonal, the radial eigenvalue equations for the energy reduce to a system of four simultaneous differential equations. The usefulness of this representation is shown in the case of the Breit equation.
Riassunto
Si dimostra che in una rappresentazione in cui oltre al momento angolare e alla parità, anche le velocità radiali di due particelle di Dirac sono diagonali, le equazioni per gli autovalori radiali dell’energia si riducono a un sistema di quattro equazioni differenziali simultanee. L’utilità di questa rappresentazione è dimostrata per il caso dell’equazione di Breit.
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References
I. S. Lowen:Phys. Rev.,51, 190 (1937);G. Breit andG. E. Brown:Phys. Rev.,74, 1278 (1948);G. Breit andR. E. Meyerott:Phys. Rev.,72, 1023 (1947);75, 1447 (1949).
L. L. Foldy andS. A. Wouthuysen:Phys. Rev.,78, 28 (1950).
P. A. M. Dirac:Principles of Quantum Mechanics, third ed. (Oxford, 1947), p. 256; ϱ (s)1 =γ (s)5 , the interaction matrix of pseudoscalar interaction.
H. Joos, J. Leal Ferreira andA. H. Zimerman: to appear inAn. Ac. Bras. Ci.
T. Ishidzu:Prog. Theor. Phys.,6, 48, 154 (1951).
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Joos, H., Leal Ferreira, J. & Zimerman, A.H. A special representation for the treatment of a system of two Dirac particles. Nuovo Cim 5, 57–64 (1957). https://doi.org/10.1007/BF02812817
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DOI: https://doi.org/10.1007/BF02812817