Relativistic field quantization

  • B. M. Udgaonkar


A method is given for quantizing any relativistic wave equation for a particle of arbitrary spin and non-zero finite values of the rest-mass, which can be written in the canonical form\((\alpha ^k p_k + \chi ) \psi = 0.\) The general commutation rule of theψ andψ is given by (35) in every case.

A necessary and sufficient condition to be satisfied by the α’s in order that the charge-density and the energy density be non-zero has been deduced and is that the minimal equation ofα 0 should not have repeated factors other thanα 0 itself.


Free Energy Density Arbitrary Spin Commutation Rule Relativistic Wave Equation Minimal Equation 
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  1. Bhabha, H. J...Rev. Mod. Phys., 1949,21, 451.MATHCrossRefMathSciNetGoogle Scholar
  2. ——..Proc. Ind. Acad. Sci., 1951,34A, 335.MathSciNetGoogle Scholar
  3. ——..Phil. Mag., 1952,43, 33.MATHMathSciNetGoogle Scholar

Copyright information

© Indian Academy of Sciences 1952

Authors and Affiliations

  • B. M. Udgaonkar
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombay

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