On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations

Autor(es)

V. Ya. Fainberg ^[1] ; B. M. Pimentel ^[2]

Afiliação do(s) autor(es)

^[1] Universidade Estadual Paulista. Instituto de Física Teórica - Brasil

^[2] Universidade Estadual Paulista. Instituto de Física Teórica - Brasil

• Tipo de documento: Artigo Científico
• Fonte: Brazilian Journal of Physics; v. 30, n. 2, p. 275-281, 2000-06-00.

Resumo

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 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 in reduction formulas of Lehmann, Symanzik, Zimmermann. (AU)

• Processo FAPESP: 98/06237-0 - Vladimir Fainberg | Lebedev Pphysical Institute - Rússia
• Beneficiário: Bruto Max Pimentel Escobar
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional