Scattering state solutions of the Duffin-Kemmer-Petiau equation with the Varshni potential model

Dirac Equation with Unequal Scalar and Vector Potentials under Spin and Pseudospin Symmetry

“…The choice of approximation applied depends on the interacting potential. Considering the potential given in equation 11which also has a strong singularity at 0, r  we resort to use the following approximation scheme for a short potential range [50][51][52][53] that is a good approximation to the centrifugal term   12Substituting equations (11) and (12) into equation (6)…”

On a Simple Relation between Duffin-Kemmer-Petiau and Tzou Algebras

“…The Duffin-Kemmer-Petiau (DKP) equations [1][2][3] have been gaining importance due to their applications to problems in particle and nuclear physics of spin 0 and spin 1 mesons [4][5][6][7][8][9][10][11][12][13][14][15]. Since spin 1 bosons can be also described by Hagen-Hurley equations [16][17][18] involving Tzou algebra [19][20][21], relations between DKP and Tzou algebras deserve a separate study.…”

Application of formula method for bound state problems in Schrödinger equation

“…This necessitates the present study; and in this paper, we intend to investigate the nonrelativistic Schrödinger equation with the Varshni potential function in the framework of the Formula method for bound state problems. To the best of our knowledge, this is the first time the Schrӧdinger equation is being studied with the Varshni potential function using the Formula method.The Varshni potential function is given as (Varshni, 1957;Oluwadare and Oyewumi, 2017) ( ) , r ab V a r e r δ − = −(1) Where, a and b are the potential strengths, δ is the screening parameter which controls the shape of the potential energy curve and r is the internuclear separation. The Varshni potential function is a short range repulsive potential energy function that plays an important role in both chemical and molecular physics (Varshni, 1957).…”

“…The Varshni potential function is given as (Varshni, 1957;Oluwadare and Oyewumi, 2017) ( ) , r ab V a r e r δ − = −…”

“…There are few traditional techniques or methods used to solve second-order differential equation in order to obtain the solutions of the quantum systems. These methods include Nikiforov-Uvarov method (Ebomwonyi et al, 2017;Ikot et al, 2015;Onate and Idiodi, 2015;Hamzavi and Ikhdair, 2012), asymptotic iteration method Falaye et al, 2013;Ateser et al, 2007), supersymmetry shape invariance and solvable potential (Zarrinkamar et al, 2010;Jia et al, 2011;Hassanabadi, 2011;Onate et al, 2017), factorization method (Onyeaju et al, 2016), new exact quantization rule (Dong and Gonzalez-Cisneros, 2008;Gu et al, 2009) The Varshni potential function is given as (Varshni, 1957;Oluwadare and Oyewumi, 2017) ( ) (1) Where, a and b are the potential strengths, δ is the screening parameter which controls the shape of the potential energy curve and r is the internuclear separation. The Varshni potential function is a short range repulsive potential energy function that plays an important role in both chemical and molecular physics (Varshni, 1957).…”