279 citations · 2.1k across the 63 of their papers we have counts for
67 papers
Uncertainty relations in classical and quantum theories of electromagnetism
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
Sharp uncertainty relations restricting the values of variances in the position space and in the momentum (wavevector) space are derived. They have the same form in t…
Apparent violation of causality in relativistic quantum mechanics
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
In relativistic theories the principle of microscopic causality states that ``information cannot travel faster than the speed of light'' \cite{kaku}. In the present work we show th…
Classical-quantum correspondence for particles in the Penning trap
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
We derive new solutions of the Schrödinger equation which describe the motion of particles in the Penning trap. These solutions are direct counterparts of classical orbits. They ar…
Helical beams of electrons in a magnetic field: New analytic solutions of the Schrödinger and Dirac equations
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
We derive new solutions of the Schrödinger, Klein-Gordon and Dirac equations which describe the motion of particles in a uniform magnetic field. In contrast to the well known stati…
The Zeldovich number: A universal dimensionless measure for the electromagnetic field
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula
In this work we extend the Zeldovich formula, which was originally derived for the free electromagnetic field and was interpreted as the number of photons. We show that our extende…
Backflow in relativistic wave equations
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Szymon Augustynowicz
We show that, contrary to the statements made by many authors, the backflow is not a nonclassical effect. The backflow is a characteristic feature of solutions of the wave equation…