DKP particle in time-dependent field

Abstract

We present the solution of Duffin-Kemmer-Petiau (DKP) equation of spin 0 and 1 in the case of the time-dependent mass in the presence of a time-dependent linear scalar field. Calculation is carried out analytically, the wave functions are then deduced for both cases and are connected respectively to the auxiliary equations. The adiabatic approximation is deduced and reveals that in this study we have an obvious absence of the geometrical amplitude factor.

Duffin-Kemmer-Petiau equation in Robertson-Walker space-time

“…The β µ are the Minkowski DKP matrices and all their properties are listed in [24][25][26][27][28] In order to study the effects of gravity on the DKP quantum mechanics. We can use the tetrad formalism [35], which is based on the principle of equivalence, to obtain the generalized DKP equation in the curved spacetime [33,36] …”

“…In the literature, there is another relativistic equation other than that of Dirac and Klein-Gordon, namely, the Duffin-Kemmer-Petiau (DKP) equation [21][22][23][24][25][26][27][28] This latter describes the dynamics of the scalar and vectorial particles spin 0 and 1, respectively.…”

Solution of the Spinless Salpeter Equation with a Time-Dependent Linear Potential

“…Over past years, several papers have been written in connection with the quantum treatment of the problem describing a particle, in a one-dimensional world, subject to a time-dependent linear potential [1][2][3][4][5][6][7][8][9][10][11][12][13]. Indeed, besides its intrinsic mathematical interest, this model has various applications to many physical problems, such as, the quantum motion of trapped ions in the Paul trap [14,15], the motion of Brownian particles [16] and the transport of electrons in a strongly driven heterostructure [1,2].…”

“…For example, this model has been exactly solved for the Dirac equation, in (1 + 1)-dimensions, with a constant mass [9,10] and in the case of time-dependent mass [11]. The same study was also retaken by considering the Duffin-Kemmer-Petiau equation, describing scalar and vector bosons, with a linear potential depending explicitly on time in (1 + 1)-dimensions [12,13].…”

DKP Oscillator in a Noncommutative Space

“…The ( β, β 0 ) are the DKP matrices and all their properties are listed in Refs. [11], [25], and [26].…”