Yazar "Mamedov, B.A." seçeneğine göre listele

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    Application of quantum self-frictional nonperturbative theory for the study of atomic anharmonic oscillator potentials and their arbitrary derivatives
    (Springer, 2021) Guseinov, İsrafil İsa; Çopuroglu, E.; Mamedov, B.A.
    The self-frictional (SF) nonperturbative theory, introduced by one of the authors, is used for the evaluation of the V-(pl*()) and V-(alpha*) atomic anharmonic oscillator potentials and their derivatives, where p(l)* = 2l + 2 - alpha* and alpha* represent the integer (alpha* = alpha, -infinity < alpha <= 2) or non-integer (alpha* not equal alpha, -infinity< alpha* < 3) SF quantum numbers. This study is based on the use of complete sets of L-(pl*())and L-(alpha*) SF polynomials. The dependence of the potentials and their derivatives from the nucleus distances is investigated. All of the obtained results are valid for the arbitrary values of quantum numbers, scaling parameters and SF quantum numbers.
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    Evaluation of the Hubbell radiation rectangular source integral using binomial coefficients
    (Pergamon-Elsevier Science Ltd, 2004) Guseinov, İsrafil İsa; Öner, F.; Mamedov, B.A.
    Using binomial coefficients a general series expansion formula is established for the integral I-q(a,b) = integral(0)(a) 1/(1 + b(2) + x(2))(q) dx with integer and noninteger values of g appearing in the evaluation of the radiation field generated by a plane isotropic rectangular source (plaque). With the help of this relation the Hubbell radiation rectangular source (HRS) integrals (J. Res. 64C(2) (1960) 121; Appl. Radiat. Isot. 39 (1988) 421) are calculated. The convergence of the series is tested by the concrete cases for values b and a. These formulae are especially useful for the calculation of HRS integrals for small values b and a. (C) 2003 Elsevier Ltd. All rights reserved.
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    On the calculation of arbitrary multielectron molecular integrals over slater-type orbitals using recurrence relations for overlap integrals I. Single-center expansion method
    (John Wiley & Sons Inc, 2000) Guseinov, İsrafil İsa; Mamedov, B.A.
    The multicenter charge-density expansion coefficients [I. I. Guseinov, J Mol Struct (Theochem) 417, 117 (1997)] appearing in the molecular integrals with an arbitrary multielectron operator were calculated for extremely large quantum numbers of Slater-type orbitals (STOs). As an example, using computer programs written for these coefficients, with the help of single-center expansion method, some of two-electron hive-center Coulomb and four-center exchange electron repulsion integrals of Hartree-Fock-Roothaan (HFR) equations for molecules were also calculated. Accuracy of the results is quite high for the quantum numbers, screening constants, and location of STOs. (C) 2000 John Wiley & Sons, Inc.