37 citations · 80 across the 9 of their papers we have counts for
10 papers
The Harmonic Oscillator Potential Perturbed by a Combination of Linear and Non-linear Dirac Delta Interactions with Application to Bose-Einstein Condensation
Cenk Akyüz, Fatih Erman, Haydar Uncu
In this paper, we study the bound state analysis of a one dimensional nonlinear version of the Schrödinger equation for the harmonic oscillator potential perturbed by a potenti…
Green's Function Formulation of Multiple Nonlinear Dirac -Function Potential in One Dimension
Fatih Erman, Haydar Uncu
In this work, we study the scattering problem of the general nonlinear finitely many Dirac delta potentials with complex coupling constants (or opacities in the context of optics)…
A Singular One-Dimensional Bound State Problem and its Degeneracies
F. Erman, M. Gadella, Ş. Tunalı +1
We give a brief exposition of the formulation of the bound state problem for the one-dimensional system of attractive Dirac delta potentials, as an matrix eigenval…
One-Dimensional Semirelativistic Hamiltonian with Multiple Dirac Delta Potentials
Fatih Erman, Manuel Gadella, Haydar Uncu
In this paper, we consider the one-dimensional semirelativistic Schrödinger equation for a particle interacting with Dirac delta potentials. Using the heat kernel techniques, w…
A New Method for Derivation of Statistical Weight of the Gentile Statistics
Sevilay Selvi, Haydar Uncu
We present a new method for obtaining the statistical weight of the Gentile Statistics. In a recent paper, Perez and Tun presented an ap- proximate combinatoric and an exact recurs…
A Parabolic Model for the Dimple Potentials
Melike Çıbık Aydın, Haydar Uncu, Coşkun Deniz
We study truncated parabolic function and demonstrate that it is a representation of the Dirac delta function. We also show that the truncated parabolic function, used as a potenti…