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Showing papers by "Iwo Bialynicki-Birula published in 2018"


Journal ArticleDOI
TL;DR: Trapping of bodies by waves is extended from electromagnetism to gravity and it is shown that gravitational waves endowed with angular momentum may accumulate near its axis all kinds of cosmic debris.
Abstract: Trapping of bodies by waves is extended from electromagnetism to gravity. It is shown that gravitational waves endowed with angular momentum may accumulate near its axis all kinds of cosmic debris. The trapping mechanism in both cases can be traced to the Coriolis force associated with the local rotation of the space metric. The same mechanism causes the Trojan asteroids to librate around the Sun-Jupiter stable Lagrange points L_{4} and L_{5}. Trapping of bodies in the vicinity of the wave center could also be related to the formation of galactic jets.

27 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the description of light beams in terms of the corresponding photon quantum numbers elucidates the properties of these beams, and that the helicity quantum number plays the fundamental role.
Abstract: It is shown that the description of light beams in terms of the corresponding photon quantum numbers elucidates the properties of these beams. In particular, this description shows that the helicity quantum number plays the fundamental role. This mode of description is applied to twisted and knotted electromagnetic waves. We concentrate on the cases where photon wave functions are eigenfunctions of one component of angular momentum. We discovered that, for knotted waves, the eigenvalue of the angular momentum determines the topology of knots.

13 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the description of light beams in terms of the corresponding photon quantum numbers elucidates the properties of these beams, and that the helicity quantum number plays the fundamental role.
Abstract: It is shown that the description of light beams in terms of the corresponding photon quantum numbers elucidates the properties of these beams. In particular, this description shows that the helicity quantum number plays the fundamental role. This mode of description is applied to twisted and knotted electromagnetic waves. We concentrate on the cases where photon wave functions are eigenfunctions of one component of angular momentum. We discovered that for knotted waves the eigenvalue of the angular momentum determines the topology of knots.

3 citations