On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations

Details On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations

1999-11-26

arxiv.org/abs/hep-th/9911219v1

Theor.Math.Phys.124:1234-1249,2000; Teor.Mat.Fiz.124:445-462,2000

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures, requires macro tcilatex

Scientific paper

10.1007/BF02551001

A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic field. First, Hamiltonian canonical approach to DKP theory is developed in both component and matrix form. The theory is then quantized through the construction of the generating functional for Green functions (GF) and the physical matrix elements of S-matrix are proved to be relativistic invariants. The equivalence between both theories is then proved using the connection between GF and the elements of S-matrix, including the case of only many photons states, and for more general conditions - so called reduction formulas of Lehmann, Symanzik, Zimmermann.

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