[PDF] Top 20 Solutions of the Dirac Equation with Gravitational plus Exponential Potential

... State Solutions of the Klein-Gordon Equation with q-Deformed Equal Scalar and Vector Eckart Potential Using a Newly Improved Approximation Scheme,” High Energy Physics, ... See full document

... The Dirac and Klein-Gordon wave equations are frequently used to describe the particle dynamics in relativistic quantum ...pseudospin solutions to the Dirac equation for the Manning- Rosen ... See full document

... one-dimensional Dirac equation using the Tridiagonal Re- presentation Approach ...analytical solutions to a certain class of solvable po- tentials for the 1D Dirac ...in Dirac ... See full document

... massive Dirac equation into a quaternionic ...of solutions, by virtue of separating the quaternionic system into a pair of decoupled partial differential equations, that includes a special class of ... See full document

... Vekua equation in terms of the so-called Taylor series in formal powers [1], upto the approaching of the probability functions obtained from the corresponding solutions for the massive Dirac ... See full document

... The Dirac and Klein–Gordon wave equations are frequently used to describe the particle dynamics in relativistic quantum ...scalar potential is equal to the vector potential and obtained the exact ... See full document

... are solutions to the Schrödinger wave equation and Dirac ...that Dirac equation can be used to describe quantum particles as composite structures that are in a fluid state in which the ... See full document

... the Dirac equation (both in the Foldy-Wouthuysen and the Pauli-Dirac representations), which proof was started in [2]- [5], where the bosonic symmetries of this equation were found, is ... See full document

... Schrödinger equation for the Eckart potential has been widely investigated by using various methods, such as the supersymmetric (SUSY) shape invariance tech- nology [49], point canonical transformation ... See full document

... Yukawa potential has been used in nonrelativistic quantum mechanics to study the interactions between nonrelativistic ...in solutions of Dirac equation for spin-1/2 particles with high ... See full document

... a Dirac-type equation consistent with the tachyonic energy-momentum ...tachyonic Dirac-type equation we mean a covariant equation that describes, in the quantum mechanics framework, the ... See full document

... HO potential, namely the HO frequency and the distance of well-bot- tom deviation from the center studied in ...linear potential and quadratic scalar and vector potentials with equal or opposite signs has ... See full document

... the Dirac equation as an example of a fully relativistic equation with both negative and positive energy ...Cornell potential and a power-law scalar and vector potentials were used in our ... See full document

... The paper consists of six sections. In Section 2 we derive the Dirac equations using retarded and advanced potentials. In Section 3 we derive a new form of the radiation term. In Section 4 we formulate a periodic ... See full document

... The quark models employ multiplets of spinors and nonlinear interactive vec- tors with gauge symmetries, which are too complicated to get exact solutions and an overview for the properties. In this paper we ... See full document

... the Dirac equation with scalar and vector potential for the Yukawa potential and obtained both bound and scattering ...lomb potential plays significant role in microscopic fields, this ... See full document

... quasiclassical solutions of the one-dimensional equation obtained after separation of variables of the Schrödinger equation in parabolic coordinates was ...the Dirac equation with ... See full document

... So the present task is to solve Equation (5). There are also several methods to study time-dependent Dirac equa- tion [22,23] in commutative space. In this paper, we used the so-called Lewis-Riesenfield ... See full document

... the Dirac equation is derived and its coupling to the electromagnetic field consi- ...Majorana equation is briefly discussed. Then the complex Dirac equation including an ... See full document

... Schrödinger equation is set up for two particles where the only assumption is that they are there and that the wave equation will have purely spherical ... See full document