23 citations · 51 across the 8 of their papers we have counts for
4 papers · 1 filter
Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators
Johannes Keller, Franz Luef
We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators between weighted Sobolev-Fock sp…
The spectrogram expansion of Wigner functions
Johannes Keller
Wigner functions generically attain negative values and hence are not probability densities. We prove an asymptotic expansion of Wigner functions in terms of Hermite spectrograms,…
A new Phase Space Density for Quantum Expectations
Johannes Keller, Caroline Lasser, Tomoki Ohsawa
We introduce a new density for the representation of quantum states on phase space. It is constructed as a weighted difference of two smooth probability densities using the Husimi…
An invariant class of wave packets for the Wigner transform
Helge Dietert, Johannes Keller, Stephanie Troppmann
Generalised Hagedorn wave packets appear as exact solutions of Schrödinger equations with quadratic, possibly complex, potential, and are given by a polynomial times a Gaussian. We…