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 


  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

Personalised recommendations