222 citations · 1.6k across the 117 of their papers we have counts for
5 papers · 1 filter
Modified Landau levels, damped harmonic oscillator and two-dimensional pseudo-bosons
Syed Twareque Ali, Fabio Bagarello, Jean-Pierre Gazeau
In a series of recent papers one of us has analyzed in some details a class of elementary excitations called {\em pseudo-bosons}. They arise from a special deformation of the canon…
Semi-classical behavior of Pöschl-Teller coherent states
H. Bergeron, J. -P. Gazeau, P. Siegl +1
We present a construction of semi-classical states for Pöschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are…
Coherent state quantization of paragrassmann algebras
M. El Baz, R. Fresneda, J. P. Gazeau +1
By using a coherent state quantization of paragrassmann variables, operators are constructed in finite Hilbert spaces. We thus obtain in a straightforward way a matrix representati…
Krein Spaces in de Sitter Quantum Theories
Jean-Pierre Gazeau, Petr Siegl, Ahmed Youssef
Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group or as an appealing substitut…
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…