111 citations · 549 across the 61 of their papers we have counts for
63 papers
Whitham-Broer-Kaup Systems in Multi-dimensions: Quantum and Resonant NLS Connections
Oktay K Pashaev, Colin Rogers
An overview is presented of quantum and resonant nonlinear Schrödinger equation links to Whitham-Broer-Kaup type systems. A novel n+1-dimensional extension of the Whitham-Broer-Kau…
Uncertainty Relations and Entanglement for PQ-deformed Supersymmetric Coherent States
Oktay K Pashaev, Aygul Kocak
We propose supersymmetric extension of deformed quantum oscillator with two parameters quantum group structure. As particular cases, specified by values of and parameters i…
Geometry and Entanglement of Super-Qubit Quantum States
Oktay K. Pashaev, Aygul Kocak
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 the super-Bloch sphere.…
Quantum Calculus of Fibonacci Divisors and Fermion-Boson Entanglement for Infinite Hierarchy of N = 2 Supersymmetric Golden Oscillators
Oktay K. Pashaev
The quantum calculus with two bases, as powers of the Golden and the Silver ratio, relates Fibonacci divisor derivative with Binet formula of Fibonacci divisor number operator, act…
The Bell Based Super Coherent States. Uncertainty Relations, Golden Ratio and Fermion-Boson Entanglement
Oktay K Pashaev, Aygul Kocak
The set of maximally fermion-boson entangled Bell super-coherent states is introduced. A superposition of these states with separable bosonic coherent states, represented by points…
Method of Hydrodynamic Images and Quantum Calculus in Fock-Bargmann Representation of Quantum States
Oktay K Pashaev
We propose a new approach to quantum states in Fock space in terms of classical hydrodynamics. By conformal mapping of complex analytic function, representing the wave function of…