Browsing by Author "Karayer, Hasibe Hale"
Now showing items 1-9 of 9
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Analytical eigenstate solutions of Schrodinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method
Karayer, Hasibe Hale; Demirhan, Doğan (Elsevier, 2021)Exact eigenstate solutions of Schrodinger equation for a generalized oscillator system that includes, as special cases; ring shaped oscillator potential and isotropic harmonic oscillator potential are examined in an ... -
Analytical exact solutions for the Razavy type potential
Karayer, Hasibe Hale; Demirhan, Doğan; Atman, K. G. (Wiley, 2020)A quantum system with Razavy type potential which transforms to single or double well potential according to negative or positive potential parameterk, is solved analytically by using extended form of Nikiforov-Uvarov (NU) ... -
Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials
Karayer, Hasibe Hale (2019)D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is ... -
Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method
Karayer, Hasibe Hale (Springer Heidelberg, 2019)The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that ... -
Analytical solution of the local fractional Klein-Gordon equation for generalized Hulthen potential
Karayer, Hasibe Hale; Demirhan, Ahmet Doğan; Büyükkılıç, Fevzi (Scientific Technical Research Council Turkey-Tubitak, 2017)The one-dimensional Klein Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one-dimensional scalar potential, namely generalized Hulthen potential. The conformable fractional calculus ... -
Analytical solutions of conformable time, space, and time–space fractional KdV equations
In this study, we consider the Korteweg–de Vries (KdV) equation for solitary waves in the domain ofconformable fractional calculus. By means of this fractional theory, we obtain exact solutions for time, space, andtime–space ... -
Solution of Schrodinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation
Karayer, Hasibe Hale; Demirhan, Doğan; Büyükkılıç, F. (Amer Inst Physics, 2018)Exact solutions of the Schrodinger equation for two different potentials are presented by using the extended Nikiforov-Uvarov method. The first one is the inverse square root potential which is a long-range potential and ... -
Solutions of local fractional sine-Gordon equations
Karayer, Hasibe Hale; Demirhan, Doğan; Büyükkılıç, F. (Taylor & Francis Ltd, 2019)In this paper, we study sine-Gordon equation in order to obtain exact solitary wave solutions in the domain of fractional calculus. By using the definition of conformable fractional derivative, we obtain analytical solutions ... -
Study of the radial Schrodinger equation with external magnetic and AB flux fields by the extended Nikiforov-Uvarov method
Karayer, Hasibe Hale (Springer Heidelberg, 2020)Applicability of the extended Nikiforov-Uvarov method in order to obtain eigenstate solutions of the radial Schrodinger equation in the presence of external magnetic field and Aharonov-Bohm (AB) flux fields is investigated. ...