6533b7cefe1ef96bd125707e
RESEARCH PRODUCT
Levy flights and nonlocal quantum dynamics
Vladimir A. StephanovichPiotr Garbaczewskisubject
PhysicsHigh Energy Physics - TheoryQuantum PhysicsPhotonStatistical Mechanics (cond-mat.stat-mech)Wave packetQuantum dynamicsFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Schrödinger equationsymbols.namesakeMaxwell's equationsHigh Energy Physics - Theory (hep-th)symbolsSchrödinger pictureMatter waveQuantum Physics (quant-ph)QuantumCondensed Matter - Statistical MechanicsMathematical PhysicsMathematical physicsdescription
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\"{o}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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |