Foundations of Physics

, Volume 26, Issue 11, pp 1441–1455

Relativistic quantum mechanics of spin-0 and spin-1 bosons

  • Partha Ghose

DOI: 10.1007/BF02272366

Cite this article as:
Ghose, P. Found Phys (1996) 26: 1441. doi:10.1007/BF02272366


It is shown that below the threshold of pair creation, a consistent quantum mechanical interpretation of relativistic spin-0 and spin-1 particles (both massive and mussless) ispossible based an the Hamiltonian-Schrödinger form of the firstorder Kemmer equation together with a first-class constraint. The crucial element is the identification of a conserved four-vector current associated with the equation of motion, whose time component is proportional to the energy density which is constrainedto be positive definite for allsolutions. Consequently, the antiparticles must be interpreted as positive-energy states traveling backward in time. This also makes it possible to define hermitian position operators with localized eigensolutions (δ-functions) as well as Bohmian trajectories for bosons. The exact theory is obtained by “second quantization” and is mathematically completely equivalent to conventional quantum field theory. The classical field emerges in the high mean number limit of coherent states of the exact theory. The formalism provides a new basis for computing tunneling times for photons and chaotic phenomena in optics.

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Partha Ghose
    • 1
  1. 1.Theoretical Physics DepartmentIndian Association for the Cultivation of ScienceCalcuttaIndia