Sami AL-Jaber

Sami AL-Jaber
An-Najah National University · Department of Physics

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43
Publications
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259
Citations

Publications

Publications (43)
Article
Full-text available
In this paper, the exponential decreasing kernel is used in Laplace integral transform to transform a function from a certain domain to another domain. It is shown, in rigorous way, that the Laplace transform of the delta function is exactly one half rather than one, as it is believed. In addition, when this kernel is used in integral transform of...
Article
Full-text available
In this work we consider a spring with one end is fixed and the other is connected to a block of mass M located on a horizontal rough table. The other side of the block is connected to a massless rope that passes over a frictionless pulley at the end of the table and a second block of mass m is hanged at the rope's other end. For this system, we an...
Article
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We study the uncertainty relation for three quantum systems in the N-dimensional space by using the virial theorem (VT). It is shown that this relation depends on the energy spectrum of the system as well as on the space dimension N. It is pointed out that the form of lower bound of the inequality, which is governed by the ground state, depends on...
Article
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The induced electromotive force and Faraday’s law of induction, due to a time-dependant magnetic field, are more conveniently written on the covering space. In this paper, we consider the induced electromotive force in the loop on a covering space which is generated by the time derivative the external magnetic field enclosed that loop. The total in...
Article
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Homotopy Perturbation Method (HPM) is applied to formulate analytic solution of the free particle radial dependent Schrödinger equation in N-dimensional space. This method is based on the construction of a homotopy with an embedding parameter dÎ0, 1 . The method shows its effectiveness, usefulness, and simplicity for obtaining approximate analy...
Article
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We derive a general form of the induced electromotive force due to a time-varying magnetic field. It is shown that the integral form of Faraday's law of induction is more conveniently written in the covering space. Thus the differential form is shown to relate the induced electric field in the n th winding number to the (n+1) th time-derivative of...
Article
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A calculation of the energy loss due to a transi-tion from non-equilibrium to equilibrium state is given. Three different physical systems are con-sidered in this study: connecting an uncharged capacitor to a charged capacitor, emission of a photon from an excited atom, and releasing an object from a compressed spring. In this study, it is shown th...
Article
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We consider the effect of a magnetic field on the motion of an atomic electron in its orbit. The usual treat-ment deals with the change in magnetic dipole moment assuming the electron's speed changes but the radius of its orbit remains unchanged. We derive the change in the magnetic dipole moment allowing both the speed and the radius to change. Th...
Article
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We consider the effect of space dimension N, on the results predicted by two approximation techniques applied on physical quantum systems. In the first, we apply degenerate perturbation theory to perturbed N-dimensional infinite cubical well. It is found that the energy difference for splitting decreases as N increases and it vanishes in the infini...
Article
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The ground-state energy of the N -dimensional helium atom is pre-sented by applying the variational principle. The calculations are made for the unscreened and screened cases. It is shown that, in both cases, the magnitude of the ground-state energy decreases (less negative) as the spatial dimension N in-creases. For the unscreened case, the relati...
Article
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Recent interest in problems in higher space di-mensions is becoming increasingly important and attracted the attention of many investiga-tors in variety of fields in physics. In this paper, the electrostatic energy of two geometries (a charged spherical shell and a non-conducting sphere) is calculated in higher space dimension, N. It is shown that...
Article
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The electromagnetic linear momentum and the energy balance in an infinite solenoid with a time-dependant current are examined. We show that the electromagnetic linear momentum density and its associated force density are balanced by the hidden momentum density and its associated hidden force density respectively. We also show that exactly half the...
Article
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We compute ground state energies for the N-dimensional hydrogen atom confined in an impenetrable spherical cavity. The obtained results show their dependence on the size of the cavity and the space dimensionN. We also examine the value of the critical radius of the cavity in different dimensions. Furthermore, the number of bound states was found fo...
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Some physical properties of the behavior of an ideal non-relativistic Bose gas in N – dimensional space are theoretically investigated. The general analytic expressions of the critical temperature T c of Bose – Einstein condensation, and the high-temperature behavior of the gas have been derived. The dependence of these physical quantities on space...
Article
A calculation of the energy loss due to a transition from non-equilibrium to equilibrium state in the process of charging a capacitor is given. In this study, it is shown that half of the total energy produced by the battery should be consumed in one form or another to reach the equilibrium state, regardless of the values of the resistance and capa...
Article
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We compute the energy eigenvalues for the N-dimensional harmonic oscillator confined in an impenetrable spherical cavity. The results show their dependence on the size of the cavity and the space dimensionN. The obtained results are compared with those for the free N-dimensional harmonic oscillator, and as a result, the notion of fractional dimensi...
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— The quantum-mechanical energy, the Fermi energy, and the degen- eracy pressure are derived for a degenerate Fermi gas in D spatial dimensions in the non-relativistic and the extreme relativistic cases. The stability of the system due to the balancing between degeneracy pressure forces and gravitational forces is investigated. We also examine the...
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We show that a series of recurrent inequalities derived in N = 3 have the same formal expressions in any dimension N ≥ 2. They are derived from the multipole sum rules, and provide us with upper bounds for the moments of the ground-state density depending only on the lowest multipole excitation energy. These bounds are transformed into approximate...
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Planck's spectral distribution law is derived in N-dimensional space. Some relevant formulas are thus obtained and analyzed. The behavior of these formulas in higher dimensions is examined and some numerical values are calculated.
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The boundary effects on a quantum system are discussed by examining a harmonic oscillator in an impenetrable spherical well. The boundary corrections to the ground-state energy and wave function are calculated via a linear approximation method which is linear, in energy. A simple analytical expression for the asymptotic dependence of the ground-sta...
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We consider the photoionization of a one-electron atom in N-dimensional space and derive the total cross-section. It is shown that () depends strongly on the dimension N. Thus we emphasize the role of the topological structure of a system on the physical properties of the system.
Article
In this paper we derive an expression for the first-order energy correction to the ground state of two-electron atoms in the N-dimensional space. The expression yields the well-known result for the three-dimensional space. It is also shown that the value of the correction decreases as N increases and it vanishes as N goes to infinity.
Article
We consider an exactly solvable model, namely the δ″ (cursive Greek chi) interaction that is one of the point interactions. For the repulsive case, we derive the reflection and transmission coefficients. It is shown that these coefficients satisfy the unitarity of the scattering matrix. If the incident particle has a certain energy, then the barrie...
Article
The authors examine the dynamics of a magnetic dipole in a static electric field. Applications of interest are the Aharonov-Casher effect and spin-orbit coupling. The ideal Aharonov-Casher effect is shown to involve a correlation between the moving particle and the internal coordinates of a voltage source. A similar relation has been demonstrated i...
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A derivation of the specific electrostatic energy loss for two interacting capacitors is given. The connecting wires are assumed to be superconducting. The method of derivation is based purely on the Poynting vector involved in the process without any reference to the nature of the mechanism that may be involved in achieving a final equilibrium sta...
Article
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We consider a Fermi gas in D-dimensional spaceand show how the physical properties of the systembehave as a function of the dimension D, in particular,the density of states, the Fermi energy, and the radius of the Fermi hypersphere.
Article
The authors consider the case of a limited rigid rotor, controlled by passive mechanical devices on a circle located at theta =0 and theta = pi . The devices have the effect of restricting the particle motion to the interval (0,3 pi ). This system, which cannot be described by a Hamiltonian on (0,2 pi ), is compared with a Hamiltonian system having...
Article
The fine structure of energy levels of a hydrogen atom in N dimensions is given. This is done by calculating the first-order energy correction due to the relativistic correction to kinetic energy, spin-orbit coupling, and Darwin term. Thus we emphasize the role of the topological structure of the configuration space of a physical system on the quan...
Article
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Some aspects of the N-dimensional hydrogen atomare discussed. The complete solution for the energyeigenfunctions is presented and the radial distributionfunction is examined. Degeneracy of energy levels, expectation values ( and2>), and the virial theorem areconsidered. It is shown that the effect of the effectivepotential manifests itself in some...
Article
We consider the equation for the radial part of the wave function of the Schrödinger equation in the N-dimensional space. A new effective potential is derived when the equation for the radial part of the wave function is written in the form of a one-dimensional Schrödinger equation. As a constructive example, we find and discuss the solution, the o...
Article
Summary We consider the most general case of the quantization of angular momentum in theN-dimensional space. We show that a hydrogen atom, when viewed in anN-dimensional, multiply connected space, the angular momentum must be ((N−1)/2)-integral.
Article
Full-text available
Summary In the Aharonov-Casher effect, the neutron exerts a non-vanishing force on a static line charge (a charged wire). The reaction of this force is the time rate of change of the electromagnetic momentum.
Article
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We apply th van Kampen-Steinwedel principal axis transformation to the problem of finding time-dependent prob ability distributions for decaying states of the harmonic oscillator. The result lends itself easily to computer simulation. Results for the decay of levels 1,2, and 15 are given.
Article
In the Aharonov-Bohm effect, the electron exerts a non vanishing force on the flux whisker. The reaction of this force is the rate of change of the electromagnetic momentum.
Article
We consider the most general case of the restricted rigid rotor, controlled by passive mechanical devices located at θ=0 and θ=π. The purpose of these devices is to restrict the particle motion to a domain of a covering space (0,Mπ), whereM is an odd integer. This system, which is not a Hamiltonian one on the physical space (0, 2π), is compared wit...
Article
"Molecular Science Program." Thesis (Ph. D.)--Southern Illinois University at Carbondale, 1991. Vita. Includes bibliographical references (leaves 81-85).
Article
Thesis (Ph. D.)--Southern Illinois University at Carbondale, 1991. Vita. Includes bibliographical references (leaves 81-85). Microfilm. s

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The best way to understand deeply the collapse of the wave function

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