Search Results - "Pashaev, Oktay K"

Bianchi I model: an alternative way to model the present-day Universe by Russell, Esra, Kılınç, Can Battal, Pashaev, Oktay K.

“…Although the new era of high-precision cosmology of the cosmic microwave background (CMB) radiation improves our knowledge to understand the infant as well as…”
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Variations on a theme of q-oscillator by Pashaev, Oktay K

“…We present several ideas in the direction of physical interpretation of q- and f-oscillators as nonlinear oscillators. First we show that an arbitrary…”
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Exact solutions of forced Burgers equations with time variable coefficients by Büyükaşık, Şirin A., Pashaev, Oktay K.

“…► Exactly solvable variable parametric forced Burgers equations are considered. ► Exact explicit solutions are found for forced Burgers equations with damping…”
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Relativistic DNLS and Kaup-Newell Hierarchy by Pashaev, Oktay K., Lee, Jyh-Hao

“…By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the…”
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Energy localization in maximally entangled two- and three-qubit phase space by Pashaev, Oktay K, Gurkan, Zeynep N

“…Motivated by the Möbius transformation for symmetric points under the generalized circle in the complex plane, the system of symmetric spin coherent states…”
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Power-series solution for the two-dimensional inviscid flow with a vortex and multiple cylinders by Pashaev, Oktay K., Yilmaz, Oguz

“…The problem of a point vortex and N fixed cylinders in a two-dimensional inviscid fluid is studied and an analytical-numerical solution in the form of an…”
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q-Shock soliton evolution by Pashaev, Oktay K., Nalci, Sengul

“…► We introduce new type of q-Heat equation with q-deformed space derivative. ► It solved in terms of new q-Kampe-de Feriet polynomials with multiple term…”
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Binet-Fibonacci Calculus and N = 2 Supersymmetric Golden Quantum Oscillator by Pashaev, Oktay K

“…The Binet-Fibonacci calculus, as $\varphi \varphi'$ - two base quantum calculus, relates Fibonacci derivative with Binet formula of Fibonacci number operator,…”
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Method of Hydrodynamic Images and Quantum Calculus in Fock-Bargmann Representation of Quantum States by Pashaev, Oktay K

“…We propose a new approach to quantum states in Fock space in terms of classical hydrodynamics. By conformal mapping of complex analytic function, representing…”
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Soliton Resonances, Black Holes and Madelung Fluid by Pashaev, Oktay K, Lee, Jyh-Hao

“…The reaction-diffusion system realizing a particular gauge fixing condition of the Jackiw-Teitelboim gravity is represented as a coupled pair of Burgers…”
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Self-Dual Chern-Simons Solitons and Quantum Potential by Pashaev, Oktay K, Lee, Jyh-Hao

“…An influence of the quantum potential on the Chern-Simons solitons leads to quantization of the statistical parameter κ = me 2 /g, and the quantum potential…”
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Geometry and Entanglement of Super-Qubit Quantum States by Pashaev, Oktay K, Kocak, Aygul

“…We introduce the super-qubit quantum state, determined by superposition of the zero and the one super-particle states, which can be represented by points on…”
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Chiral resonant solitons in Chern–Simons theory and Broer–Kaup type new hydrodynamic systems by Lee, Jyh-Hao, Pashaev, Oktay K.

“…► We reduce chiral solitons in quantum potential from Chern–Simons theory of anyons. ► We examine corresponding family of integrable resonant DNLS models. ►…”
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The Bell Based Super Coherent States. Uncertainty Relations, Golden Ratio and Fermion-Boson Entanglement by Pashaev, Oktay K, Kocak, Aygul

“…The set of maximally fermion-boson entangled Bell super-coherent states is introduced. A superposition of these states with separable bosonic coherent states,…”
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Hirota Bilinear Method and Relativistic Dissipative Soliton Solutions in Nonlinear Spinor Equations by Pashaev, Oktay K

“…A new relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions, gauge equivalent to Papanicolau spin model, defined on…”
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Maximally Entangled Two-Qutrit Quantum Information States and De Gua's Theorem for Tetrahedron by Pashaev, Oktay K

“…Geometric relations between separable and entangled two-qubit and two-qutrit quantum information states are studied. To characterize entanglement of two qubit…”
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Geometric Probabilities and Fibonacci Numbers for Maximally Random n-Qubit Quantum Information States by Pashaev, Oktay K

“…The problems of Hadamard quantum coin flipping in n-trials and related generalized Fibonacci sequences of numbers were introduced in [1]. It was shown that for…”
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Exactly solvable Madelung fluid and complex Burgers equations: a quantum Sturm–Liouville connection by Büyükaşık, Şirin A., Pashaev, Oktay K.

“…Quantum Sturm–Liouville problems introduced in our paper (Büyükaşık et al. in J Math Phys 50:072102, 2009 ) provide a reach set of exactly solvable quantum…”
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PQ-Calculus of Fibonacci Divisors and Method of Images in Planar Hydrodynamics by Pashaev, Oktay K

“…By introducing the hierarchy of Fibonacci divisors and corresponding quantum derivatives, we develop the golden calculus, hierarchy of golden binomials and…”
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Quantum Coin Flipping, Qubit Measurement and Generalized Fibonacci Numbers by Pashaev, Oktay K

“…Theoretical and Mathematical Physics, 208(2):1075-1092 (2021) The problem of Hadamard quantum coin measurement in $n$ trials, with arbitrary number of repeated…”
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