๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The applications of C-semigroups to the Dirac equation

โœ Scribed by Jingren Qiang; Miao Li; Quan Zheng

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
442 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we study first-order symmetric, hyperbolic systems of differential operator with constant coefficients on L p -spaces. We show that such systems can be governed by some C -semigroups and as an application we consider the Dirac equation. Our result improves that of Nicaise [S. Nicaise, The Hille-Yosida and Trotter-Kato theorems for integrated semigroups, J. Math. Anal. Appl. 180 (1993) 303-316].

๐Ÿ“œ SIMILAR VOLUMES

A Semiclassical Approach to the Dirac Eq
A Semiclassical Approach to the Dirac Equation
โœ Jens Bolte; Stefan Keppeler ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

We derive a semiclassical time evolution kernel and a trace formula for the Dirac equation. The classical trajectories that enter the expressions are determined by the dynamics of relativistic point particles. We carefully investigate the transport of the spin degrees of freedom along the trajectori

The Geometry of the Dirac Equation
The Geometry of the Dirac Equation
โœ Prof. Dr. Dierck-Ekkehard Liebscher ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 346 KB ๐Ÿ‘ 1 views