131 citations · 571 across the 40 of their papers we have counts for
4 papers · 1 filter
Generation of coherent states of photon-added type via pathway of eigenfunctions
K. Gorska, K. A. Penson, G. H. E. Duchamp
We obtain and investigate the regular eigenfunctions of simple differential operators x^r d^{r+1}/dx^{r+1}, r=1, 2, ... with the eigenvalues equal to one. With the help of these ei…
Quasiclassical Asymptotics and Coherent States for Bounded Discrete Spectra
K. Gorska, K. A. Penson, A. Horzela +3
We consider discrete spectra of bound states for non-relativistic motion in attractive potentials V_σ(x) = -|V_{0}| |x|^{-σ}, 0 < σ\leq 2. For these potentials the quasiclassical a…
Exact and explicit probability densities for one-sided Levy stable distributions
K. A. Penson, K. Gorska
We study functions g_α(x) which are one-sided, heavy-tailed Levy stable probability distributions of index α, 0< α<1, of fundamental importance in random systems, for anomalous dif…
Complex and real Hermite polynomials and related quantizations
Katarzyna Gorska, Jean Pierre Gazeau, Nicolae Cotfas
It is known that the anti-Wick (or standard coherent state) quantization of the complex plane produces both canonical commutation rule and quantum spectrum of the harmonic oscillat…