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H. I. Ahmadov

Publications and source records attributed to H. I. Ahmadov.

9 recordsLinked to original sources
arXiv2024

Existence and uniqueness of the solution of a mixed problem for a parabolic equation under nonconventional boundary conditions

In this study, we investigate a mixed problem linked to a second-order parabolic equation, characterized by temporal dependencies and variable~coefficients, and constrained by non-local, non-self-adjoint boundary conditions. By defining precise conditions on the input data, we establish the unique solvability of the problem through a synthesis of the residue and contour integral methods. Moreover, our research yields an explicit analytical solution, facilitating the direct resolution of the stated problem.

math.AP↗
arXiv2016

Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics

The analytical solution of the modified radial Schrödinger equation for the Hulthén potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the shape invariance consept that was introduced by Gendenshtein method by using the improved approximation scheme to the centrifugal potential for arbitrary $l$ states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states.

math-ph↗
arXiv2014

Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential

The analytical solution of the Schrödinger equation for the Manning-Rosen potential plus a ring-shaped like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal potential for arbitrary $l$ states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states.

math-ph↗
arXiv2011

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

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 applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for arbitrary $l$ states. The bound state energy eigenvalues and corresponding eigenfunctions are obtained for various values of $n$ and $l$ quantum numbers.

math-ph↗
arXiv2011

Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers $n$ and $l$. The non-relativistic limit of the bound state energy spectrum was also found.

math-ph↗
arXiv2009

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

In this work, the analytical solution of the radial Schrödinger equation for the Woods-Saxon potential is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for arbitrary $l$ states. The bound state energy eigenvalues and corresponding eigenfunctions are obtained for various values of $n$ and $l$ quantum numbers.

math-ph↗
arXiv2002

Almost regularity conditions of spectral problems for a second order equation

In this paper the asymptotic distributions are exactly solved for linearly independent solutions considering problems of the second order and for the coefficients of asymptotic destribution the recurent formulas are obtained. Further, using obtained recurent formulas the neccessary and sufficient conditions almost regularity of spectral problem for the equation of the second order is proved.

math-ph↗