Binomial Expansion

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B A Mamedov - One of the best experts on this subject based on the ideXlab platform.

  • evaluation of guseinov auxiliary function by the use of Binomial Expansion theorem
    TURKISH PHYSICAL SOCIETY 32ND INTERNATIONAL PHYSICS CONGRESS (TPS32), 2017
    Co-Authors: Ebru Copuroglu, B A Mamedov
    Abstract:

    In this work, a new approach is proposed for calculating Guseinov’s G−nsq(pa,p,pt) auxiliary function. The established formulae for Guseinov’s G−nsq(pa,p,pt) auxiliary functions are prime importance in accurate evaluation of two-electron multicenter molecular integrals over Slater type orbitals arising from combined Harthree-Fock-Roothaan equations. This analytical method based on the Binomial Expansion theorem and has provided accurate results for various ranges of parameters. The calculating results can be useful for electronic structure evaluations of the atoms and molecules.

  • unified analytical treatments of the two parameter fermi functions using Binomial Expansion theorem and incomplete gamma functions
    Solid State Communications, 2016
    Co-Authors: B A Mamedov, E Copuroglu
    Abstract:

    Abstract This work studies the current status of the theories of kinetic effects and electron transport phenomena in semiconductors and its application to the physics of semiconductors and numerical simulation studies. The studies of two-parameter Fermi functions have played a major role in the development of kinetic effects and electron transport phenomena in semiconductors. Also, this work introduces new approximations for analytical evaluation of the two-parameter Fermi functions. Efficient analytical calculation formulae of the two-parameter Fermi functions are possible for a wide range of its parameters. The accuracy of the obtained formulae have been confirmed by comparison with previously published results. The new approach is seen to be a significant improvement.

  • Unified analytical treatment for the current flow due to tunneling of electrons from metal into semiconductor
    Journal of Computational Electronics, 2013
    Co-Authors: S. Saygi, B A Mamedov
    Abstract:

    By the use of Binomial Expansion theorem the analytical treatments for the current flow due to tunneling of electron from the metal into the semiconductor are established. The obtained formulas can be useful in the analytical evaluation of the current density from the semiconductors to the metals. The method is general and easy for application. Numerical tests show that the obtained formulas provide higher accuracy and efficiency than the approximation methods in literature. The usefulness of the suggested method is confirmed by the concrete example.

  • unified treatment of franck condon factors over harmonic oscillator wave function using Binomial Expansion theorems
    Journal of Molecular Structure, 2013
    Co-Authors: B A Mamedov, N Sunel
    Abstract:

    Abstract In this article an alternative analytical formula is proposed for Franck–Condon (FC) factors. The proposed method enables us to accurately determine the various level intensities in the spectrum of dia- and polyatomic molecules. This method is based on the use of Binomial Expansion theorem for the analytical representation of the FC factors. As an example of the effectiveness of the method, we present the calculation results of the FC factors of the molecules AlO, CeO, CrH, CrO, LaO, and NiH. The calculated results are in good agreement with other calculations obtained by theoretical and experimental methods.

  • analytical evaluation of the marcus hush chidsey function using Binomial Expansion theorem and error functions
    Journal of Mathematical Chemistry, 2013
    Co-Authors: B A Mamedov
    Abstract:

    A simple and straightforward analytical method is presented for calculating the Marcus–Hush–Chidsey function. We present here an alternative derivation method which leads to a simpler series analytical formula, based on the use of the Binomial Expansion theorem. The convergence of the series is tested by calculating concrete cases for arbitrary values of parameters. Comparison with available analytical results validates the accuracy and efficiency of this method.

Timothy S Norfolk - One of the best experts on this subject based on the ideXlab platform.

E Copuroglu - One of the best experts on this subject based on the ideXlab platform.

Itzhak Roditi - One of the best experts on this subject based on the ideXlab platform.

  • Bethe states for the two-site Bose-Hubbard model: a Binomial approach
    2020
    Co-Authors: G. Santos, Angela Foerster, Itzhak Roditi
    Abstract:

    Abstract: We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose-Hubbard model. Using a Binomial Expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.

  • Bethe states for the two-site Bose–Hubbard model: A Binomial approach
    Physics Letters B, 2015
    Co-Authors: G. Santos, Angela Foerster, Itzhak Roditi
    Abstract:

    Abstract We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl ( 2 ) -invariant R -matrix for the two-site Bose–Hubbard model. Using a Binomial Expansion of the n -th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.

Svante Janson - One of the best experts on this subject based on the ideXlab platform.