an:06280669
Zbl 1284.81012
Garbaczewski, Piotr; Stephanovich, Vladimir
L??vy flights and nonlocal quantum dynamics
EN
J. Math. Phys. 54, No. 7, 072103, 34 p. (2013).
00331429
2013
j
81P05 60G51 35S05 81Q40 70H40 81V80
Summary: 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 Schr??dinger picture quantum evolution to that employing nonlocal (pseudodifferential) operators. Special attention is paid to the Salpeter (here, \(m \geq 0\)) 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.{
\copyright 2013 American Institute of Physics}