279 citations · 522 across the 12 of their papers we have counts for
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quant-ph2006★ 279 cited
Formulation of the uncertainty relations in terms of the Renyi entropies
Iwo Bialynicki-Birula
Quantum mechanical uncertainty relations for position and momentum are expressed in the form of inequalities involving the Renyi entropies. The proof of these inequalities requires…
physics.optics2006★ 11 cited
Exponential beams of electromagnetic radiation
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams. These beams are chara…
quant-ph2006★ 10 cited
Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices
Iwo Bialynicki-Birula, Tomasz Radozycki
Electromagnetic waves with phase defects in the form of vortex lines combined with a constant magnetic field are shown to pin down cyclotron orbits (Landau orbits in the quantum me…