ON THE TRANSFORMATION PROPERTIES OF THE DIRAC EQUATION

Journal Article · Wed Apr 01 04:00:00 EST 1959 · Progr. Theoret. Phys. (Kyoto)

DOI:https://doi.org/10.1143/PTP.21.640· OSTI ID:4210111

Pac, P Y

In connection with two types of 3-dimensional rotation groups, which are termed the helicity and the pseudo-helicity group respectively, a synthesis and generalization of the Foldy-Wouthuysen-Tani transformation and the Cini-Touahek transformation for the Dirac Hamiltonian is discussed. One is thus enabled to comprehend in one scope the extreme-non-relativistic and the extreme-relativistic limits of the behavior of the free Dirac particles. Moreover, the parityconserving and the parity-non-conserving interactions of the V-A form are derived on the basis of the principle of invariance of the interaction Hamiltonian for the continuous group of transformations corresponding to the extreme-relativistic case. (auth) Recent experiments support the hypothesis that weak interactions are universally V-A combinations. Also, the so-called T- invariance of the law of nature may also be considered to hold at least in the zeroth approximation. It is on these two characteristic features that formulation of a more symmetrical world of elementary particles is attempted. (C.J.G.)

• Research Organization: Kyoto Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-13-022819
• OSTI ID: 4210111
• Journal Information: Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 21
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIRAC EQUATIONS
GROUP THEORY
HELICITY
INTERACTIONS
MOMENTUM
PARITY
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN