The Duffin–Kemmer–Petiau equation in Friedmann–Robertson–Walker metric in $$\varvec{(1+1)}$$ ( 1 + 1 ) -dimensions

Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

“…Besides these wave equations, another wave equation is called the Duffin-Kemmer-Petiau (DKP) equation which describes the relativistic spin-zero scalar and spin-one vector bosons [18][19][20][21]. This DKP wave equation in various space-time backgrounds in (1 + 1)-, (1 + 2)-, and (1 + 3)-dimensions, respectively, have been investigated by several authors in the literature [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Noted that the DKP equation is similar to the Dirac equation except that the gamma-matrices γ μ in the Dirac equation are replaced with the beta-matrices β μ satisfying the DKP algebra [38].…”

Investigation of DKP equation for spin-zero system in the presence of Gödel-type background space-time

“…The first-order relativistic DKP equation has been used to study the interactions of spinless mesons with nuclei [31]. There have been made valuable efforts using the DKP equation such as deuteronnucleus scattering using the DKP equation, motivated by the fact that this theory suggests a spin-1 structure from combining two spin-1 2 [32]: study of the meson-nuclear interaction and the relativistic model of α-nucleus elastic scattering [33,34], investigation of the DKP equation, with equally vector and scalar potentials for the general deformed Morse potential, obtaining creation and annihilation operators that showed these operators satisfied the commutation relation of the SU (1, 1) group [35], study of the DKP equation in the presence of external electromagnetic fields in FriedmannRobertson-Walker metric [36] and with a time-dependent interaction [37].…”