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In this study, we investigated the influence of the topological defects space–time with a spiral dislocation on a spin-zero boson field by using the Duffin–Kemmer–Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and corresponding energy eigenvalues for two cases, in the absence and presence of a static potential by using analytical methods. We numerically demonstrated the effect of the spiral dislocation on the solutions. [ABSTRACT FROM AUTHOR]

We studied the q-deformed Morse and harmonic oscillator systems with appropriate canonical commutation algebra. The analytic solutions for eigenfunctions and energy eigenvalues are worked out using time-independent Schrödinger equation and it is also noted that these wave functions are sensitive to variation in the parameters involved. [ABSTRACT FROM AUTHOR]

In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic relativistic bound state eigenvalues and the scattering phase factor are found in closed form. We report on the numerical results for the bound state energy in D-dimensions. [ABSTRACT FROM AUTHOR]

Abstract: The energy of a graph , denoted by , is defined as the sum of the absolute values of all eigenvalues of . Let be a graph of order and be the rank of the adjacency matrix of . In this paper we characterize all graphs with . Among other results we show that apart from a few families of graphs, , where is the number of vertices of , and are the complement and the chromatic number of , respectively. Moreover some new lower bounds for in terms of are given. [Copyright &y& Elsevier]