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

@article{Fainberg2000OnEO, title={On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations}, author={Vladimir Ya. Fainberg and Bruto Max Pimentel}, journal={Brazilian Journal of Physics}, year={2000}, volume={30}, pages={275-281} }

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…

## 19 Citations

### Interacting Spin 0 Fields with Torsion via Duffin-Kemmer-Petiau Theory

- Physics
- 2001

Here we study the behaviour of the spin 0 sector of the DKP field in spaces with torsion. First we show that in a Riemann-Cartan manifold the DKP field presents an interaction with torsion when…

### Galilean covariance and non-relativistic Bhabha equations

- Mathematics, Physics
- 2001

We apply a five-dimensional formulation of Galilean covariance to construct non-relativistic Bhabha first-order wave equations which, depending on the representation, correspond either to the well…

### The causal approach proof for the equivalence of SDKP4 and SQED4 at tree-level

- PhysicsInternational Journal of Modern Physics A
- 2020

The description of the electromagnetic interaction of charged spinless particles is usually formulated by the Scalar Quantum Electrodynamics. However, there is an alternative formulation given by the…

### Spin 1 Fields in Riemann-Cartan Space-Times via Duffin-Kemmer-Petiau Theory

- Mathematics
- 2002

We consider massive spin 1 fields, in Riemann-Cartan space-times, described by Duffin-Kemmer-Petiau theory. We show that this approach induces a coupling between the spin 1 field and the space-time…

### The explicit relation between the DKP equation and the Klein-Gordon equation

- Physics, MathematicsTHIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)
- 2019

DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP equation. In this work, we give an explicit relation between the DKP and the KG…

### Duffin–Kemmer–Petiau equation: Casimir effect and Stefan–Boltzmann law at finite temperature

- Physics
- 2019

This work deals with the Duffin–Kemmer–Petiau (DKP) field theory. The structure of the wave functions is analyzed for the scalar and vector sectors for particles with spin 0 and spin 1. The finite ...

### LETTER TO THE EDITOR: Galilean covariance and the Duffin-Kemmer-Petiau equation

- Physics
- 2000

We use a five-dimensional approach to Galilean covariance to investigate the non-relativistic Duffin-Kemmer-Petiau first-order wave equations for spinless particles. The corresponding representation…

### THE CAUSAL APPROACH TO SCALAR QED VIA DUFFIN-KEMMER-PETIAU EQUATION

- Mathematics
- 2001

field theory. Our goals are to obtain a non-effective and mathematically well defined theory for SQED-DKP, at the same time recovering the results of the effective theory already obtained in the…

### Formulation of spin-1 fields in deformed space-time with minimal length based on Quesne-Thachuk algebra

- Physics
- 2013

Quesne-Thachuk algebra is a relativistic deformed algebra which leads to a nonzero minimal length. We present the formulation of the Duffin-Kemmer-Petiau field in 1 + 1 space-time based on…

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