13 citations · 24 across the 5 of their papers we have counts for
5 papers
Analytic Solutions of Brans-Dicke Cosmology: Early Inflation and Late Time Accelerated Expansion
Medine Ildes, Metin Arik
We investigate the most general exact solutions of Brans-Dicke cosmology by choosing the scale factor "a" as the new independent variable. It is shown that a set of three field equ…
Analytic Solutions of Scalar Field Cosmology, Mathematical Structures for Early Inflation and Late Time Accelerated Expansion
Medine Ildes, Metin Arik
We study the most general cosmological model with real scalar field which is minimally coupled to gravity. Our calculations are based on Friedmann-Lemaitre-Robertson-Walker (FLRW)…
Inflation and Linear Expansion in the Radiation Dominated era in Jordan-Brans-Dicke Cosmology
Metin Arik, Medine Ildes, Mikhail B. Sheftel
We present several features of a cosmological model based on the Brans-Dicke-Jordan-Thirry action which is scale invariant with a quartic potential for the Jordan scalar field. We…
Quantum Mechanics on Periodic and Non-Periodic Lattices and Almost Unitary Schwinger Operators
Metin Arik, Medine Ildes
In this work we uncover the mathematical structure of the Schwinger algebra and introduce an almost unitary Schwinger operators which are derived by considering translation operato…
Quantum Mechanics in a Space with Finite Number of Points
Metin Arik, Medine Ildes
We define a deformed kinetic energy operator for a discrete position space with a finite number of points. The structure may be either periodic or nonperiodic with well-defined end…