Open AccessFractional values of orbital angular momentum in problems of classical physics
Author(s) -
K. S. Krylov,
V. D. Mur
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1686/1/012026
Subject(s) - angular momentum , physics , wedge (geometry) , diffraction , helmholtz equation , field (mathematics) , classical mechanics , mathematical physics , helmholtz free energy , theoretical physics , quantum electrodynamics , quantum mechanics , mathematics , optics , boundary value problem , pure mathematics
Classical field theory problems for which the presence of nontrivial topological Pauli phase is essential (i.e. fractional values of the orbital angular momentum are possible in two-dimensional case) are discussed within the two-dimensional Helmholtz equation. As examples, we consider the “wedge problem” — determination of the field created by a point charge placed between two conducting half-planes — and the Fresnel diffraction from knife edge.