scholarly journals Positron Interactions with Atoms and Ions

2014 ◽  
Vol 1 (2) ◽  
pp. 45-63
Author(s):  
Anand K. Bhatia

Dirac, in 1928, combining the ideas of quantum mechanics and the ideas of relativity invented the well-known relativistic wave equation. In his formulation, he predicted an antiparticle of the electron of spin ħ/2. He thought that this particle must be a proton. Dirac [1] published his interpretation in a paper `A theory of electrons and protons'. It was shown later by the mathematician Hermann Weyl [see Ref. 2] that the Dirac theory was completely symmetric between negative and positive particles and the positive particle must have the same mass as that of the electron. In his J. Robert Oppenheimer Memorial Prize Acceptance Speech, Dirac [2] notes that ‘Blackett was really the first person to obtain hard evidence for the existence of a positron but he was afraid to publish it. He wanted confirmation, he was really over cautious.’ Positron, produced by the collision of cosmic rays in a cloud chamber, was detected experimentally by Anderson [3] in 1932. His paper was published in Physical Review in 1933. The concept of the positron and its detection were the important discoveries of the 20th century.

2020 ◽  
pp. 179-202
Author(s):  
Jim Baggott

The problem of electron spin was in some way connected with special relativity. Dirac’s fascination with relativity and his already burgeoning reputation made the search for a fully relativistic form of the new quantum mechanics irresistible. An important clue was available in a treatment that Pauli had published in 1927, in which he had represented the spin angular momemtum operators as 2 × 2 Pauli spin matrices. Dirac presumed that a proper relativistic wave equation could be derived simply by extending the spin matrices to a fourth member, but quickly realized this couldn’t be the answer. As he played around with the equations, in 1928 he found that he needed 4 × 4 matrices, instead. This allowed him to derive a relativistic wave equation, and to show that electron spin was indeed the result. The two extra solutions were subsequently shown to belong to the positron. Dirac had discovered antimatter.


1952 ◽  
Vol 48 (1) ◽  
pp. 110-117
Author(s):  
K. J. Le Couteur

AbstractIt is proved that the matrix algebra for any relativistic wave equation of half-odd integral spin can be factorized as the direct product of a Dirac algebra and another, called a ξ-algebra. The structure and representation of ξ-algebras are studied in detail. The factorization simplifies calculations with particles of spin > ½, because the ξ-algebra contains only one-sixteenth as many elements as the original matrix algebra.


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