Bound Energy for the Exponential-Cosine-Screened Coulomb Potential

Abstract

An alternative approximation scheme has been used in solving the Schrödinger equation for the exponential-cosine-screened Coulomb potential.The bound state energıes for various eigenstates and the corresponding wave functions are obtained analytically up to the second perturbation term.

Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

“…where σ(z) and σ(z) are polynomials, at most second degree, and τ (z) is a polynomial of first degree [31,39,40,51,57,73,74,93,98,99,102,104,103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122].…”

Pseudo-spin Symmetry for Relativistic-Hyperbolic Problem and Tensor Potential

“…The spin symmetry is relevant for mesons [24] and the pseudo-spin symmetry has been used to explain the features of deformed nuclei [25], superdeformation [26], and to establish an effective nuclear shell model scheme [21,22]. Also, some researchers, various potentials such as the mie-type potential [27], Coulomb-like potential [28], Wood-Saxon potential [19], Eckart potential [29], etc., have been studied within the frame work of the spin and pseudo-spin symmetries.…”

BOUND-STATES OF A SEMI-RELATIVISTIC EQUATION FOR THE ${\cal PT}$-SYMMETRIC GENERALIZED HULTHÉN POTENTIAL BY THE NIKIFOROV–UVAROV METHOD

“…In a latter study [32], Egrifes and Sever investigated the bound-state solutions of the 1D Dirac equation for real and complex forms of generalized Hulthén potential for PT −symmetric potentials with complex generalized Hulthén potential. In recent works, we have solved the 1D Schrödinger equation with the PT −symmetric modified Hulthén and Woods-Saxon (WS) potentials for ℓ = 0 bound-state spectra and their corresponding wave functions [40,41] using the NikiforovUvarov (NU) method [42]. In the latter case, we investigated the PT −symmetric property and the reality of the spectrum for different real and complex versions of the modified WS potentials [41].…”