| Title:
|
An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions on a hyperboloid (English) |
| Author:
|
Sikora, Martin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
2010 |
| Pages:
|
363-376 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Dirac equation for spinor-valued fields $f$ on the Minkowski space of even dimension form a hyperbolic system of partial differential equations. In the paper, we are showing how to reconstruct the solution from initial data given on the upper sheet $H^+$ of the hyperboloid. In particular, we derive an integral formula expressing the value of $f$ in a chosen point $p$ as an integral over a compact cycle given by the intersection of the null cone with $H^+$ in the Minkowski space ${\mathbb{M}}$. (English) |
| Keyword:
|
Clifford analysis |
| Keyword:
|
integral formula of hyperbolic type |
| Keyword:
|
hyperboloid |
| Keyword:
|
Minkowski space |
| MSC:
|
30E20 |
| MSC:
|
30G35 |
| MSC:
|
35Q41 |
| idZBL:
|
Zbl 1249.30122 |
| idMR:
|
MR2753990 |
| . |
| Date available:
|
2010-12-14T15:09:01Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141390 |
| . |
| Reference:
|
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| Reference:
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| . |
