Uncertainty relations have become the trademark of quantum theory since they were
formulated by Bohr and Heisenberg. This review covers various generalizations and …

Atoms in high-lying Rydberg states with large values of the principal quantum number n, n⩾
300, form a valuable laboratory in which to explore the control and manipulation of quantum …

Quantum-mechanical uncertainty relations for position and momentum are expressed in the
form of inequalities involving the Rényi entropies. The proof of these inequalities requires …

We analyze the formation of the low-energy structure (LES) in above-threshold ionization
spectra in strong-field ionization by midinfrared laser pulses by using both quasiclassical …

Connection between Fisher information and Rényi entropy has been established. This link
allows us to define the Fisher–Rényi information plane and an entropic product in terms of …

It is shown that there is a linear relation between the relative Rényi entropy and the density
functional fidelity susceptibility. The derivative of the relative Rényi entropy with respect to …

Position and momentum space Rényi information of order α has been studied within a
Hartree–Fock framework for 103 neutral atoms, 54 singly charged cations and 43 anions in …

Rényi uncertainty relations are shown to have significant importance in quantum phase
transitions. They detect the quantum phase transition in the Dicke model. The Rényi entropy …

The Rényi entropies of the Dicke model are presented. This quantum-optical model
describes a single-mode bosonic field interacting with an ensemble of N two-level atoms …

Quantum mechanical uncertainty relations for the position and the momentum and for the
angle and the angular momentum are expressed in the form of inequalities involving the …