Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Abstract

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatiallydependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.

Superconductivity and nucleation from fractal anisotropy and product-like fractal measure

“…The associated heat capacity is given by C=TΔTkBTln⁡Z, where ΔT=normal∂2/normal∂T2. In the limit Vfalse→normal∞, we find Ccritical∝mfalse~∗3/2(T−Tc)−1/2∝mfalse~3/2false(false(lk−xkfalse)/l0kfalse)3(αk−1)/2(T−Tc)−1/2 which is position-dependent, as expected [86]. When x k approaches l k , C critical tends toward a very large value and the system behaves similar to an isothermal process where there is no temperature change, e.g.…”

“…It is motivating to obtain a position-dependent charge density and electric field using LOSA. It is notable that in the absence of the magnetic field, an effective position-dependent mass mfalse~∗=(l0k/(lk−xk))1−αkm∗ may also be defined that has a wide range of applications in various areas of physics and mainly solid-state physics [17–19,78–86]. Since the electric field boldE=−normal∇αμp, then the effective electric field is given by right left right left right left right left right left right left3pt0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278emE~=−∇αμfalse~p=−∇α((l0klk−xk)αk−1μp)=−(l0klk…”

Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of $$CO$$ Diatomic Molecule

“…Ferkous and Bounames [34] solved the 2D Pauli equation with Hulth´en potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field with the vector potential of the form; Au r    . Eshghi et al [43] solved the SE with a position-dependent mass (PDM) for a charged particle with the superposition of the Hulthen plus Coulomb-like potential field under the influence of external magnetic and Aharonov-Bohm (AB) flux fields. The authors used the vector potential of the simple form as [31,41];…”

“…We are motivated to adopt the vector potential of the form in Eq. ( 4) above since our model is of similar form to that of Eshghi et al [43] .Our choice of the vector potential of the form is inspired by the work of Eshghi et al [43]. Moreover, we introduced the parameter  to show the influence of the topological defect in the medium, this is done following the work of Bakke and Furtado [71].…”

“…The thermodynamics properties of the system was computed and the results compared to the well-studied free oscillator. Eshghi et al [43] solved the SE with a position-dependent mass (PDM) for a charged particle with the superposition of the Hulthen plus Coulomb-like potential field under the influence of external magnetic and Aharonov-Bohm (AB) flux fields. The thermal quantities of the system was also considered and other many studies in this direction have been considered by several authors [44][45][46][47][48][49][50].…”