In terms of a 3-Lie algebra and the classical Poisson bracket {Bn,L} dKP hierarchy, special 3-bracket {Bm,Bn,L} is proposed. When m = 0 or 1, 3-lax equation ∂L∂t={Bm,Bn,L} hierarchy corresponding proof given. Meanwhile, for generalized case (m,n), also investigated.

In this work we study the electromagnetic field at Finite Temperature via the massless DKP formalism. The constraint analysis is performed and the partition function for the theory is constructed and computed. When it is specialized to the spin 1 sector we obtain the well-known result for the thermodynamic equilibrium of the electromagnetic field.

We prove the equivalence of many-photon Green functions in statistical quantum field Duffin-Kemmer-Petiau (DKP) and Klein-GordonFock (KGF) theories using functional path integral formalism for partition functional in statistical quantum (finite temperature) field theory. We also calculate the polarization operators in these theories in oneloop approximation, and demonstrate their coincidence.

We give an action for the massless spinning particle in pseudoclassical mechanics by using grassmann variables. The constructed action is invariant under τ -reparametrizations, local SUSY and O(N) transformations. After quantization, for the special case N = 2, we get an action which describes the spin 0, 1 and topological sectors of the massless DKP theory.

We give an action for the massless spinning particle in pseudoclassical mechanics by using grassmann variables. The constructed action is invariant under τ-reparametrizations, local SUSY and O(N) transformations. After quantization, for the special case N = 2, we get an action which describes the spin 0, 1 particles and topological sectors of the massless DKP theory. A SUSY formulation of the g...

In the present study, we firstly investigated spatial properties of event horizon a two- dimensional black hole. Then solve Duffin-Kemmer-Petiau (DKP) equation for such hole metric depending on signs variable. After obtaining exact solutions, determine thermal parameters related to this metric. Finally, harmonic oscillation behavior system is evaluated.

In this work we study the electromagnetic field at Finite Temperature via the massless DKP formalism. The constraint analysis is performed and the partition function for the theory is constructed and computed. When it is specialized to the spin 1 sector we obtain the well-known result for the thermodynamic equilibrium of the electromagnetic field.

We prove the equivalence of many-photon Green functions in statistical quantum field Duffin-Kemmer-Petiau (DKP) and Klein-GordonFock (KGF) theories using functional path integral formalism for partition functional in statistical quantum (finite temperature) field theory. We also calculate the polarization operators in these theories in oneloop approximation, and demonstrate their coincidence.