69 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Türkiye Bilimsel ve Teknolojik Araştırma KurumuTR5 papers
- Boğaziçi UniversityTR4 papers
- Trakya UniversityTR3 papers
- Istanbul Technical UniversityTR2 papers
- Anadolu UniversityTR1 paper
- Atilim UniversityTR1 paper
- Eskisehir Technical UniversityTR1 paper
- Koç UniversityTR1 paper
- Middle East Technical UniversityTR1 paper
- Tbilisi State UniversityGE1 paper
- Universidad de AlcaláES1 paper
26 papers
A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
Efe Gürel
In this paper, we give an analogue of Wilton's product formula for Dirichlet series that satisfy Hecke's functional equation. We apply our results to obtain identities for Hecke se…
A Hybrid Immersed-Boundary/Front-Tracking Method for Interface-Resolved Simulation of Droplet Evaporation
Faraz Salimnezhad, Hasret Turkeri, Iskender Gokalp +1
A hybrid sharp-interface immersed-boundary/front-tracking (IB/FT) method is developed for interface-resolved simulation of evaporating droplets in incompressible multiphase flows.…
An algebraic characterization of a Dehn twist for nonorientable surfaces
Ferihe Atalan
Let be a nonorientable surface of genus \ \ with \ -punctures. In this note, we will give an algebraic characterization of a Dehn twist about a simple closed c…
Tunable Fano resonance in a parallelly coupled diatomic molecular transistor
Ali Goker
We investigate electron transport through a diatomic molecule parallelly coupled to infinite source and drain contacts. We utilize a model Hamiltonian involving a Hubbard term in w…
Spinor formulation of topologically massive gravity
A. N. Aliev, Y. Nutku
In the framework of real 2-component spinors in three dimensional space-time we present a description of topologically massive gravity (TMG) in terms of differential forms with tri…
A theorem on topologically massive gravity
A. N. Aliev, Y. Nutku
We show that for three dimensional space-times admitting a hypersurface orthogonal Killing vector field Deser, Jackiw and Templeton's vacuum field equations of topologically massiv…
Hamiltonian structure of real Monge-Ampère equations
Y. Nutku
The real homogeneous Monge-Ampère equation in one space and one time dimensions admits infinitely many Hamiltonian operators and is completely integrable by Magri's theorem. This r…
Nonlinear Wave Dynamics in Two Temperature Electron-Positron-Ion Plasma
N. L. Shatashvili, J. I. Javakhishvili, H. Kaya
The hot electron-positron unmagnetized plasma with small fraction of cold electron-ion plasma is investigated. The modulational interactions of the electromagnetic waves and the el…
Vacuum fluctuations for spherical gravitational impulsive waves
M. Hortaçsu
We propose a method for calculating vacuum fluctuations on the background of a spherical impulsive gravitational wave which results in a finite expression for the vacuum expectatio…
Seiberg-Witten Monopole Equations And Riemann Surfaces
C. Saclioglu, S. Nergiz
The twice-dimensionally reduced Seiberg-Witten monopole equations admit solutions depending on two real parameters (b,c) and an arbitrary analytic function f(z) determining a solut…
Scattering from the Potential Barrier V=cosh^{-2} ωx from the Path Integration over SO(1,2)
H. Ahmedov, I. H. Duru
Unitary irreducible representation of the group SO(1,2) is obtained in the mixed basis, i.e. between the compact and noncompact basis and the new addition theorems are derived whic…
A q-oscillator Green Function
H. Ahmedov, I. H. Duru
By using the generating function formula for the product of two q-Hermite polynomials q-deformation of the Feynman Green function for the harmonic oscillator is obtained.
The Geometry of Self-dual 2-forms
A. H. Bilge, T. Dereli, Ş. Koçak
We show that self-dual 2-forms in 2n dimensional spaces determine a dimensional manifold and the dimension of the maximal linear subspaces of ${\cal S}_{2…
On the Solution and Ellipticity Properties of the Self-duality equations of Corrigan et al in Eight Dimensions
Ayse Humeyra Bilge
We show that the two sets of self-dual Yang-Mills equations in 8-dimensions proposed in (E.Corrigan, C.Devchand, D.B.Fairlie and J.Nuyts, {\it Nuclear Physics} {\bf B214}, 452-464,…
Consistent Interactions in terms of the Generalized Fields Method
O. F. Dayi
The interactions which preserve the structure of the gauge interactions of the free theory are introduced in terms of the generalized fields method of solving the Batalin-Vilkovisk…
Liouville Vortex And Kink Solutions Of The Seiberg--Witten Equations
Serdar Nergiz, Cihan Saclioglu
The Seiberg--Witten equations, when dimensionally reduced to $\bf R^{2}\mit$, naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic func…
q-Schrodinger Equations for V=u^2+ 1/u^2 and Morse Potentials in terms of the q-canonical Transformation
O. F. Dayi, I. H. Duru
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Schrödinger equations for the Morse and the potentials were known to…
Generalization of Weierstrassian Elliptic Functions to
Cihan Saclioglu
The Weierstrassian and functions are generalized to . The and cases have already been used in gravitational and Yang-Mills instanton solutions…
A Quasiperiodic Gibbons--Hawking Metric and Spacetime Foam
Serdar Nergiz, Cihan Saclioglu
We present a quasiperiodic self-dual metric of the Gibbons--Hawking type with one gravitational instanton per spacetime cell. The solution, based on an adaptation of Weierstrassian…
The Batalain-Vilkovisky Method of Quantization Made Easy
Omer F. Dayi
Odd time was introduced to formulate the Batalin-Vilkovisky method of quantization of gauge theories in a systematic manner. This approach is presented emphasizing the odd time can…
Does the Gursey-Tze Solution Represent a Monopole Condensate?
Serdar Nergiz, Cihan Saclioglu
We recast the quaternionic Gursey-Tze solution, which is a fourfold quasi-periodic self-dual Yang-Mills field with a unit instanton number per Euclidean spacetime cell, into an ord…
Anomaly and Exotic Statistics in One Dimension
Fuad Saradzhev
We study the influence of the anomaly on the physical quantum picture of the chiral Schwinger model (CSM) defined on . We show that such phenomena as the total screening of ch…
Particle Creation If a Cosmic String Snaps
A. H. Bilge, M. Hortacsu, N. Ozdemir
We calculate the Bogolubov coefficients for a metric which describes the snapping of a cosmic string. If we insist on a matching condition for all times {\it and} a particle interp…
On the Monge-Ampere equivalent of the sine-Gordon equation
E. V. Ferapontov, Y. Nutku
Surfaces of constant negative curvature in Euclidean space can be described by either the sine-Gordon equation for the angle between asymptotic directions, or a Monge-Ampere equati…