Search Results - "Qutaibeh D. Katatbeh"

Degenerate Canonical Forms of Ordinary Second-Order Linear Homogeneous Differential Equations by Christodoulou, Dimitris M., Kehoe, Eric, Katatbeh, Qutaibeh D.

“…For each fundamental and widely used ordinary second-order linear homogeneous differential equation of mathematical physics, we derive a family of associated…”
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A powerful diagnostic tool of analytic solutions of ordinary second-order linear homogeneous differential equations by Christodoulou, Dimitris M, Katatbeh, Qutaibeh D

“…Very few of the ordinary second-order linear homogeneous (OSLH) differential equations are known to possess analytic, closed-form solutions and there is no…”
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A criterion for oscillations in the solutions of the polytropic Lane-Emden equations by Christodoulou, Dimitris M, Katatbeh, Qutaibeh D, Graham-Eagle, James

“…We have previously formulated a simple criterion for deducing the intervals of oscillations in the solutions of second-order linear homogeneous differential…”
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An Optimal Segmentation Method Using Jensen–Shannon Divergence via a Multi-Size Sliding Window Technique by Qutaibeh D. Katatbeh, José Martínez-Aroza, Juan Francisco Gómez-Lopera, David Blanco-Navarro

“…In this paper we develop a new procedure for entropic image edge detection. The presented method computes the Jensen–Shannon divergence of the normalized…”
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Eigenvalues of Schrödinger operators with definite and indefinite weights by Katatbeh, Qutaibeh D.

“…In this paper computational algorithms are presented to compute the eigenvalues of Schrödinger operators with definite and indefinite weights. The algorithms…”
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A program for predicting the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential equations by Christodoulou, Dimitris M, Graham-Eagle, James, Katatbeh, Qutaibeh D

“…We derive a new criterion for deducing the intervals of oscillatory behavior in the solutions of ordinary second-order linear homogeneous differential…”
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The intervals of oscillations in the solutions of the radial Schrödinger differential equation by Katatbeh, Qutaibeh D, Christodoulou, Dimitris M, Graham-Eagle, James

“…We have previously formulated a program for deducing the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential…”
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The intervals of oscillations in the solutions of the Legendre differential equations by Christodoulou, Dimitris M, Graham-Eagle, James, Katatbeh, Qutaibeh D

“…We have previously formulated a program for deducing the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential…”
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Matrix elements for sum of power-law potentials in quantum mechanic using generalized hypergeometric functions by Ma'zoozeh E. Abu-Amra, Qutaibeh D. Katatbeh

“…In this paper we derive close form for the matrix elements for $hat H=-Delta +V$, where $V$ is a pure power-law potential. We use trial functions of the form…”
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Existence of periodic and solitary waves for a nonlinear Schrödinger equation with nonlocal integral term of convolution type by Katatbeh, Qutaibeh D., Torres, Pedro J.

“…► A nonlinear Schrödinger equation with a nonlocal integral term is considered. ► Periodic solutions and solitary waves under mild assumptions. ► The problem…”
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Existence of periodic and solitary waves for a nonlinear Schroedinger equation with nonlocal integral term of convolution type by Katatbeh, Qutaibeh D, Torres, Pedro J

“…We prove the existence of periodic solutions and solitons in the nonlinear Schroedinger equation with a nonlocal integral term of convolution type. By…”
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Spectral bounds for the Hellmann potential by Hall, Richard L., Katatbeh, Qutaibeh D.

“…The method of potential envelopes is used to analyse the bound state spectrum of the Schrödinger Hamiltonian H=− Δ+ V( r), where the Hellmann potential is…”
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New stationary solutions of the cubic nonlinear Schr\"odinger equations for Bose-Einstein condensates by Katatbeh, Qutaibeh D, Christodoulou, Dimitris M

“…We have previously formulated a simple criterion for deducing the intervals of oscillations in the solutions of second-order linear homogeneous differential…”
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Spectral bounds for the cutoff Coulomb potential by Hall, Richard L., Katatbeh, Qutaibeh D.

“…The method of potential envelopes is used to analyse the bound-state spectrum of the Schrödinger Hamiltonian H=− Δ− v/( r+ b), where v and b are positive. We…”
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Spectral bounds and comparison theorems for Schroedinger operators by Katatbeh, Qutaibeh D

“…One of the most important problems in quantum physics is to find the energy eigenvalues for Schrodinger's equation. This equation is exactly solvable only for…”
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Eigenvalue bounds for polynomial central potentials in d dimensions by Katatbeh, Qutaibeh D, Hall, Richard L, Saad, Nasser

“…J. Phys. A 40, 13431 - 13442 (2007) If a single particle obeys non-relativistic QM in R^d and has the Hamiltonian H = - Delta + f(r), where f(r)=sum_{i =…”
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Semiclassical energy formulas for power-law and log potentials in quantum mechanics by Hall, Richard L, Katatbeh, Qutaibeh D

“…J. Phys. A 36, 7173-7184 (2003) We study a single particle which obeys non-relativistic quantum mechanics in R^N and has Hamiltonian H = -Delta + V(r), where…”
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Generalized comparison theorems in quantum mechanics by Hall, Richard L, Katatbeh, Qutaibeh D

“…J. Phys. A 35, 8727-8742 (2002) This paper is concerned with the discrete spectra of Schroedinger operators H = -Delta + V, where V(r) is an attractive…”
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Spectral bounds for the cutoff Coulomb potential by Hall, Richard L, Katatbeh, Qutaibeh D

“…Phys. Lett. A 294, 163-167 (2002) The method of potential envelopes is used to analyse the bound-state spectrum of the Schroedinger Hamiltonian H = -Delta…”
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Study of anharmonic singular potentials by Saad, Nasser, Hall, Richard L, Katatbeh, Qutaibeh D

“…J. Math. Phys. 46, 022104 (2005) A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a…”
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