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Browsing by Author "Eid, R."

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    Article
    Citation Count: Eid, R., Muslih, S.I., Baleanu, D., Rabei, E. (2011). Fractional dimensional harmonic oscillator. Romanian Journal of Physics, 56(3-4), 323-331.
    Fractional dimensional harmonic oscillator
    (Editura Acad Romane, 2011) Eid, R.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E.
    The fractional Schrodinger equation corresponding to the fractional oscillator was investigated. The regular singular points and the exact solutions of the corresponding radial Schrodinger equation were reported
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    Article
    Citation Count: Eid, R, "Higher order finite element solution of the one-dimensional Schrodinger equation", International Journal of Quantum Chemistry, Vol. 71, No. 2, pp. 147-152, (1999).
    Higher order finite element solution of the one-dimensional Schrodinger equation
    (Wiley, 1999) Eid, R.
    The one-dimensional Schrodinger equation has been examined by means of the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are calculated accurately to 20 significant figures using higher order shape functions in the usual isoparametric finite element method. Numerical results are given for an arbitrary polynomial potential of degree M. (C) 1999 John Wiley & Sons, Inc.
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    Article
    Citation Count: Taşeli, H.; Eid, R. (1998). "The confined system approximation for solving non-separable potentials in three dimensions", Journal of Physics A: Mathematical and General, Vol. 31, No. 13, pp. 3095-3114.
    The confined system approximation for solving non-separable potentials in three dimensions
    (1998) Taşeli, H.; Eid, R.
    The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L2(Ω) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants.