On the properties of the Duffin-Kemmer-Petiau equation

Abstract

In view of recenl interest in the use of lhe Duffin-Kemmer-Peliau (DW relatiVistic equation, we consider some of ils properlies which are needed for practical calculalions. We also address the unresolved problem of the spinless DKP bmon in a central field and derive lhe system of lint-order coupled differential radial equations which enable the energy eigenvalues as well as the full wavefunctions to be evaluated.As an example we calculate the free DKP spherical wayes and then solve the problem of a pionic atom wilh a point Coulomb Interaction only.

Energy Spectrum of the Relativistic Duffin-Kemmer-Petiau Equation

“…The result is consistent with those of [5] and [13]. In order to obtain the relativistic radial wavefunction for the DKP Coulomb problem, we put F (ρ) = ρ l+1 e −ρ/2 L(ρ), …”

Quantum dynamics of scalar bosons in a cosmic string background

“…For the case of scalar bosons (scalar sector), we use the standard representation for the beta matrices given by [54] …”

Effects Due to a Scalar Coupling on the Particle-Antiparticle Production in the Duffin-Kemmer-Petiau Theory

“…It is still true that J μ is a conserved quantity in the presence of interactions expressed by (5) and that it can be interpreted as a charge current. For the case of spin 0, we use the representation for the β μ matrices given by [9] …”

“…where D μ is again given by (9). In addition, expressed in terms of (13) the current can be written as…”