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Now showing items 1-10 of 42

#### Entanglement in two qubit magnetic models with dm antisymmetric anisotropic exchange interaction

(World Scientific Publishing, 2010-03)

In the present paper, an influence of the anisotropic antisymmetric exchange interaction, the DzialoshinskiiMoriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model ...

#### Quantum calculus of classical vortex images, integrable models and quantum states

(IOP Publishing, 2016-10)

From two circle theorem described in terms of q-periodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular N-vortex polygon we find compact expression ...

#### Vortex images, q-calculus and entangled coherent states

(IOP Publishing, 2012)

The two circles theorem for hydrodynamic flow in annular domain bounded by two concentric circles is derived. Complex potential and velocity of the flow are represented as q-periodic functions and rewritten in terms of the ...

#### Hamiltonian dynamics of N vortices in concentric annular region

(IOP Publishing, 2011-05)

The problem of N vortex dynamics in annular domain is considered. The region is canonical one and allows by conformal mapping apply results to an arbitrary position of two cylinders in the plane. Using previous solution, ...

#### On a 2+1-dimensional Whitham-Broer-Kaup system: A resonant NLS connection

(Wiley-Blackwell, 2011-08)

It is established that the Whitham-Broer-Kaup shallow water system and the "resonant" nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1-dimensional version of the Whitham-Broer-Kaup system is ...

#### Golden quantum oscillator and Binet-Fibonacci calculus

(IOP Publishing, 2012-01)

The Binet formula for Fibonacci numbers is treated as a q-number and a q-operator with Golden ratio bases q = and Q = 1/, and the corresponding Fibonacci or Golden calculus is developed. A quantum harmonic oscillator for ...

#### Power-series solution for the two-dimensional inviscid flow with a vortex and multiple cylinders

(Springer, 2009)

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 infinite power series for the velocity field is obtained using complex ...

#### From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves

(IOP Publishing, 2016-10)

We extend the concept of q-analytic function in two different directions. First we find expansion of q-binomial in terms of q-Hermite polynomials, analytic in two complex arguments. Based on this representation, we introduce ...

#### Damped parametric oscillator and exactly solvable complex Burgers equations

(IOP Publishing, 2012)

We obtain exact solutions of a parametric Madelung fluid model with dissipation which is linearazible in the form of Schrödinger equation with time variable coefficients. The corresponding complex Burgers equation is solved ...

#### Q-analytic functions, fractals and generalized analytic functions

(IOP Publishing, 2014-01)

We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy-Riemann equations and have real and imaginary parts as q-harmonic functions. We show ...