Authors
Piotr Garbaczewski, Vladimir Stephanovich
Publication date
2013/7/1
Journal
Journal of Mathematical Physics
Volume
54
Issue
7
Publisher
AIP Publishing
Description
We develop a fully fledged theory of quantum dynamical patterns of behavior that are nonlocally induced. To this end we generalize the standard Laplacian-based framework of the Schrödinger picture quantum evolution to that employing nonlocal (pseudodifferential) operators. Special attention is paid to the Salpeter (here, m⩾ 0) quasirelativistic equation and the evolution of various wave packets, in particular to their radial expansion in 3D. Foldy's synthesis of “covariant particle equations” is extended to encompass free Maxwell theory, which however is devoid of any “particle” content. Links with the photon wave mechanics are explored.
Scholar articles
P Garbaczewski, V Stephanovich - Journal of Mathematical Physics, 2013