35 citations · 125 across the 29 of their papers we have counts for
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Energy evolution in time-dependent harmonic oscillator
Marko Robnik, Valery G. Romanovski
The theory of adiabatic invariants has a long history, and very important implications and applications in many different branches of physics, classically and quantally, but is rar…
Exact Analysis of the Adiabatic Invariants in Time-Dependent Harmonic Oscillator
Marko Robnik, Valery G. Romanovski
The theory of adiabatic invariants has a long history and important applications in physics but is rarely rigorous. Here we treat exactly the general time-dependent 1-D harmonic os…
Semiclassical analysis of Wigner functions
Gregor Veble, Marko Robnik, Valery Romanovski
In this work we study the Wigner functions, which are the quantum analogues of the classical phase space density, and show how a full rigorous semiclassical scheme for all orders o…
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 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 the semiclassical expansion for 1-dim potentials
Marko Robnik, Valery Romanovski
In the present paper we study the structure of the WKB series for the polynomial potential ( even). In particular, we obtain relatively simple recurrence formula of t…