On the Levinson theorem for Dirac operators
| dc.contributor | Virginia Tech | en |
| dc.contributor.author | Klaus, Martin | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessed | 2014-03-20 | en |
| dc.date.accessioned | 2014-04-09T18:12:24Z | en |
| dc.date.available | 2014-04-09T18:12:24Z | en |
| dc.date.issued | 1990-01 | en |
| dc.description.abstract | For the Dirac equation with potential V(r) obeying ∫∞ 0(1+r)‖V(r)‖d r<∞ we prove a relativistic version of Levinson’s theorem that relates the number of bound states in the spectral gap [−m,m] to the variation of an appropriate phase along the continuous part of the spectrum. In the process, the asymptotic properties of the Jost function as E→±m are analyzed in detail. The connection with the nonrelativistic version of Levinson’s theorem is also established. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Klaus, M., "On the Levinson theorem for Dirac operators," J. Math. Phys. 31, 182 (1990); http://dx.doi.org/10.1063/1.528858 | en |
| dc.identifier.doi | https://doi.org/10.1063/1.528858 | en |
| dc.identifier.issn | 0022-2488 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/47071 | en |
| dc.identifier.url | http://scitation.aip.org/content/aip/journal/jmp/31/1/10.1063/1.528858 | en |
| dc.language.iso | en | en |
| dc.publisher | AIP Publishing | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | dirac equation | en |
| dc.subject | number theory | en |
| dc.subject | operator theory | en |
| dc.subject | bound states | en |
| dc.title | On the Levinson theorem for Dirac operators | en |
| dc.title.serial | Journal of Mathematical Physics | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | en |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 1.528858.pdf
- Size:
- 775.29 KB
- Format:
- Adobe Portable Document Format
- Description:
- Main article