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A THEORY OF PARTICLES OF SPIN ONE-HALF

Journal Article · · Annals of Physics (New York) (U.S.)
From the two-component second order fermion theory or Feyzanan and Gell- Mann a four component theory of spin-1/2 particles in Hamiltonian form is derived. When a suttable indefinite metric is introduced in the spin space by means of charge density the spin as well as the charge degrees of freedom may be separated. Spin and angular momentum are separately constants of the motion which is not the case for the Dirac equation. If states with positive norm describe particles the states of the corresponding charge conjugate particles have negative norm. The Hamiltonian is quadratic in the momenta which allows a straightforward transition to the nonrelativistic Pauli equation. The law of transformation of the wave function under the Lorentz transformations is given, and the relation and equivalence or the theory to Dirac and FoldyWouthuysen equations are established. (auth)
Research Organization:
Syracuse Univ., N.Y.
NSA Number:
NSA-13-002377
OSTI ID:
4295967
Journal Information:
Annals of Physics (New York) (U.S.), Journal Name: Annals of Physics (New York) (U.S.) Vol. Vol: 5; ISSN APNYA
Country of Publication:
Country unknown/Code not available
Language:
English

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