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Higher Order Finite Element Solution of the One-Dimensional Schrödinger Equation
(John Wiley and Sons Inc., 1999) Eid, R.
Citation - WoS: 18
Citation - Scopus: 23
Fractional Dimensional Harmonic Oscillator
(Editura Acad Romane, 2011) Eid, R.; Baleanu, Dumitru; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E.; Matematik
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.
Citation - Scopus: 3
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The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region.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.

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