Based on the significant role of spin and pseudospin symmetries in hadron nuclear spectroscopy, we have investigated Dirac equation under scalar vector potentials cotangent hyperbolic form besides a Coulomb tensor interaction via an approximate analytical scheme. The considered potential for small parameter resembles well-established Kratzer potential. In addition, see how term removes degeneracy doublets. After acceptable approximation, namely Pekeris-type one, that problem is simply solved...

Applying an appropriate approximation scheme to deal with the centrifugal term, pseudospin and spin symmetric solutions of Dirac–Yukawa problem tensor interaction are investigated based on supersymmetric quantum mechanics (SUSYQM) shape invariance (SI) formalism. We show that energy eigenvalues equation is simply obtained by using methodology SUSYQM SI. The corresponding wave functions in terms hypergeometric functions. Effects bound states eigenfunctions also numerically. Further, we...

This research explores a unified expression for the black hole thermodynamics in presence of special generalized uncertainty principle (GUP). We have considered heuristic analysis versus behavior particle which is absorbed by hole. Then we investigate thermodynamic properties topological charged under consideration GUP and obtain GUP-corrected temperature, entropy heat capacity compare behaviors usual temperature corrected spherical horizon case.

Approximate analytical solutions of spin and pseudospin symmetry limits Dirac equation are reported for the generalized Pöschl-Teller scalar vector potentials a Coulomb tensor interaction by Nikiforov-Uvarov method. On contrary to cumbersome numerical procedures, approach followed here can be even undergraduate students.

We propose a very simple approach to deal with the problems of modified Schrödinger equation due minimal length and thereby solve in presence non-minimal Woods–Saxon interaction. The transmission reflection coefficients are reported as well.

Using the Nikiforov—Uvarov (NU) method, pseudospin and spin symmetric solutions of Dirac equation for scalar vector Hulthén potentials with Yukawa-type tensor potential are obtained an arbitrary spin—orbit coupling quantum number κ. We deduce energy eigenvalue equations corresponding upper- lower-spinor wave functions in both symmetry cases. Numerical results presented to show effects external particle mass parameters as well constants on bound-state energies absence presence interaction.

Considering of a tensor interaction in Dirac equation removes the degeneracy spin and pseudospin doublets consequently leads to results consistent with experimental data. Here, instead commonly used Coulomb or linear terms, we investigate Yukawa form. We obtain arbitrary state solutions under vector, scalar potentials via physical approximation Nikiforov—Uvarov methodology. The are discussed detail.

The two‐dimensional Dirac equation in the presence of vector and scalar Cornell potentials as well an external magnetic field by a quasiexact methodology are investigated. closed form eigenfunctions is reported energy behavior for different states numerically discussed.

In this paper, we employ a new form of the extended uncertainty principle to investigate thermal properties Schwarzschild and Reissner–Nordström. After construct formalism, obtain mass-temperature function for black hole. We follow heuristic method derive entropy after obtained heat capacity function. Then, mass-charge-temperature functions Reissner–Nordström hole in formalism. functions, present comprehensive comparative analysis all these functions. find that deformation parameter changes...

We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponential-type potential arbitrary l-state. use generalized parametric Nikiforov–Uvarov method to obtain energy levels and corresponding eigenfunction closed form. also compute eigenvalues numerically.

We investigate the approximate solution of Dirac equation for energy-dependent pseudoharmonic and Mie-type potentials under pseudospin spin symmetries using supersymmetry quantum mechanics. obtain bound-state energy in an analytical manner comment on system behavior via various figures tables.

Exact analytical solutions of the Dirac equation are reported for Pöschl—Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts solved using Nikiforov—Uvarov method, exact bound-state energy eigenvalues corresponding two-component spinor wavefunctions reported.

We investigate the spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation Nikiforov—Uvarov technique. A tensor interaction Coulomb form is considered its degeneracy-removing role discussed in detail. The solutions are reported for an arbitrary quantum number compact useful numerical data included.

We investigate spin and pseudospin symmetries of the Dirac equation under mean-field Woods–Saxon potential in scalar vector terms as well a tensor term Coulomb form via quantum mechanical idea supersymmetry mechanics. The system is discussed numerically various illustrative figures are included.

Abstract This paper examines the effects of a new form extended generalized uncertainty principle in Snyder–de Sitter model on thermodynamics Schwarzschild and Reissner–Nordström black holes. Firstly, we present generalization minimal length relation with two deformation parameters. Then obtain corrected mass–temperature relation, entropy heat capacity for hole. Also investigate effect charged Our discussion involves heuristic analysis particle which is absorbed by Finally, compare hole...

The so-called general and actual Manning–Rosen potentials have been investigated under spin pseudospin symmetries of the Dirac equation in a comparative study. By approximating centrifugal term, we reported analytical solutions to problem via supersymmetry quantum mechanics. Illustrative figures tables are included discuss detail. role Coulomb tensor interaction is too. We see that degenerate doublets same both cases.