22 citations · 75 across the 9 of their papers we have counts for
7 papers · 1 filter
Dynamical approach to chains of scatterers
Martin Horvat, Tomaz Prosen
Linear chains of quantum scatterers are studied in the process of lengthening, which is treated and analysed as a discrete dynamical system defined over the manifold of scattering…
Egorov property in perturbed cat map
Martin Horvat, Mirko Degli Esposti
We study the time evolution of the quantum-classical correspondence (QCC) for the well known model of quantised perturbed cat maps on the torus in the very specific regime of semi-…
The bends on a quantum waveguide and cross-products of Bessel functions
Martin Horvat, Tomaz Prosen
A detailed analysis of the wave-mode structure in a bend and its incorporation into a stable algorithm for calculation of the scattering matrix of the bend is presented. The calcul…
Value statistics of chaotic Wigner function
Martin Horvat, Tomaz Prosen
We study Wigner function value statistics of classically chaotic quantum maps on compact 2D phase space. We show that the Wigner function statistics of a random state is a Gaussian…
Wigner function statistics in classically chaotic systems
Martin Horvat, Tomaz Prosen
We have studied statistical properties of the values of the Wigner function W(x) of 1D quantum maps on compact 2D phase space of finite area V. For this purpose we have defined a W…
Quantum-classical correspondence on compact phase space
Martin Horvat, Tomaz Prosen, Mirko Degli Esposti
We propose to study the -norm distance between classical and quantum phase space distributions, where for the latter we choose the Wigner function, as a global phase space ind…