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20112026
most citedBound states of the -dimensional Schrödinger equation for the generalized Woods-Saxon potential

17 citations · 32 across the 6 of their papers we have counts for

collaborators

7 papers

quant-ph2026

Relativistic bound-state solutions for a non-central Schi{ö}berg-type hyperbolic potential with double ring-shaped angular terms

Shakir. M. Nagiyev, Vatan H. Badalov

Singular interactions can reshape quantum spectra by changing admissible wavefunction domains. In this study, we investigate this mechanism in the Klein--Gordon equation for a non-…

physics.chem-ph2026

Thermodynamic Properties of Diatomic Molecules from the Frost-Musulin Potential

Mohammadjavad Parsanasab, Reza Khordad, Meysam Asadipour +2

In this study, we present a quantum-statistical analysis of H and LiH diatomic molecules within the Frost--Musulin potential framework. By combining the analytical bound-state…

hep-ph2024★ 1 cited

Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra

V. H. Badalov, A. I. Ahmadov, E. A. Dadashov +1

In this study, we present an analytical solution of the Dirac equation in a generalized tanh-shape hyperbolic potential, which allows us to unify various well-known quantum potenti…

hep-ph2021

Spectra of Heavy Quarkonia in a Magnetized-Hot Medium in the Framework of Fractional Non-relativistic Quark Model

M. Abu-shady, A. I. Ahmadov, H. M. Fath-Allah +1

In the fractional nonrelativistic potential model, the decomposition of heavy quarkonium in a hot magnetized medium is investigated. The analytical solution of the fractional radia…

quant-ph2018★ 12 cited

The bound state solutions of the -dimensional Schrödinger equation for the Woods-Saxon potential

V. H. Badalov

In this work, the analytical solutions of the -dimensional Schrödinger equation are studied in great detail for the Wood-Saxon potential by taking advantage of the Pekeris appro…

nucl-th2017★ 17 cited

Bound states of the -dimensional Schrödinger equation for the generalized Woods-Saxon potential

V. H. Badalov, B. Baris, K. Uzun

In this paper, the approximate analitical solutions of the hyper-radial Schrödinger equation are obtained for the generalized Wood-Saxon potential by implementing the Pekeris appro…

math-ph2011★ 2 cited

Analytical solutions of the -dimensional Schrödinger equation with the Woods-Saxon potential for arbitrary state

V. H. Badalov, H. I. Ahmadov

In this work, the analytical solution of the hyper-radial Schrödinger equation for the spherical Woods-Saxon potential in D dimensions is presented. In our calculations, we have ap…