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13 papers · 1 filter
Re-entrant ferroelectricity in liquid crystals
D. Pociecha, E. Gorecka, M. Cepic +4
The ferroelectric (Sm C) -- antiferroelectric (Sm C) -- reentrant ferroelectric (re Sm C) phase temperature sequence was observed for system with competing synclinic…
Some properties of WKB series
Marko Robnik, Valery G. Romanovski
We investigate some properties of the WKB series for arbitrary analytic potentials and then specifically for potentials ( even), where more explicit formulae for the WKB t…
On WKB Series for the Radial Kepler Problem
Valery Romanovski, Marko Robnik
We obtain the rigorous WKB expansion to all orders for the radial Kepler problem, using the residue calculus in evaluating the WKB quantization condition in terms of a complex cont…
On the Green function of linear evolution equations for a region with a boundary
George Krylov, Marko Robnik
We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturb…
On Urabe's criteria of isochronicity
Marko Robnik, Valery G. Romanovski
We give a short proof of Urabe's criteria for the isochronicity of periodical solutions of the equation . We show that apart from the harmonic oscillator there exi…
On one-dimensional Schroedinger problems allowing polynomial solutions
George Krylov, Marko Robnik
We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are…