Energy eigenvalue spectra and applications of the sextic and the Coulomb perturbed potentials

Abstract

Keeping in view the importance of the anharmonic potentials, closed-form solutions to the N-dimensional Schrödinger equation, for the Coulomb perturbed and the sextic potentials using the Nikiforov-Uvarov functional analysis and power series methods respectively, are investigated. Complete energy spectrum is obtained for both the potentials by invoking some restrictions on wave function parameters of the sextic potential and the Greene-Aldrich approximation for centrifugal term of the Coulomb perturbed potential. A relationship between energy eigenvalues of the two potentials is verified in higher dimensions. This study is further extended to find physical applications of both the potentials. The energy eigenvalues of the Coulomb perturbed potential are used to compute the mass spectra of five mesons viz c ̄c, b ̄b, b ̄c, c ̄s and c ̄q (where q = u, d). Within the framework of the sextic potential, Zr and Sn isotopic chains are analyzed and 96 Zr and 112 Sn isotopes have been identified as critical point nuclei. The results of this study are consistent with others similar studies.

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

“…where V 0 describing the strength of the interaction and its range is 1 d . The effective potential of the quantum system with this potential is given by…”

“…When we have knowledge of the energy eigenvalues and wave function expressions for quantum particles within a system, we gain a comprehensive understanding of that quantum mechanical system. Several authors have continued to work on solving the Schrödinger wave equation in the presence of various physical potentials, including the Yukawa potential, Morse potential, Manning-Rosen potential, diatomic molecular potential, extended Cornell potential, Kratzer-Fues potential, trigonometric potential, repulsive inverse square potential among them (see, for examples [1][2][3][4][5][6][7][8] and references there in). The exact and approximate eigenvalue solutions of the Schrödinger equation (SE) with these interacting potentials are important in different branches of physics and chemistry.…”

Point-Like Defect on Radial Solution with generalized q-deformed Hulthen Plus Class of Yukawa Potential under the Influence of Flux Field

“…1 faizuddinahmed15@gmail.com ; faizuddin@ustm.ac.in 2 Eckart-Hellmann potential [30], modified Kratzer plus screened Coulomb potential [31], sextic plus Coulomb perturbed potential [32], Manning-Rosen plus a Class of Yukawa potential [33], attractive radial plus a class of Yukawa potential [34] and combination of other potentials.…”