6 citations · 11 across the 5 of their papers we have counts for
5 papers
Spectral and regularity properties of an operator calculus related to Landau quantization
Maurice de Gosson, Franz Luef
The theme of this work is that the theory of charged particles in a uniform magnetic field can be generalized to a large class of operators if one uses an extended a class of Weyl…
A new approach to the star-genvalue equation
M. de Gosson, Franz Luef
We show that the eigenvalues and eigenfunctions of the stargenvalue equation can be completely expressed in terms of the corresponding eigenvalue problem for the quantum Hamiltonia…
The Multi-Dimensional Hardy Uncertainty Principle and its Interpretation in Terms of the Wigner Distribution; Relation With the Notion of Symplectic Capacity
Maurice de Gosson, Franz Luef
We extend Hardy's uncertainty principle for a square integrable function and its Fourier transform to the multidimensional case using a symplectic diagonalization. We use this exte…
Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State
Maurice de Gosson, Franz Luef
We discuss the relation between density matrices and the uncertainty principle; this allows us to justify and explain a recent statement by Man'ko et al. We thereafter use Hardy's…
Gabor analysis over finite Abelian groups
H. G. Feichtinger, W. Kozek, F. Luef
The topic of this paper are (multi-window) Gabor frames for signals over finite Abelian groups, generated by an arbitrary lattice within the finite time-frequency plane. Our generi…