Muller, J.A. (2017) Investigating the absence of Dirac bound states in a linear potential well. Bachelor's Thesis, Physics.
|
Text
J_A_Muller_Dirac_linear_potential.pdf - Published Version Download (1MB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
Toestemming.pdf - Other Restricted to Backend only Download (76kB) |
Abstract
There are no normalizable bound states for the Dirac equation for a linear confining potential in 1+1 dimensions, while its nonrelativistic approximation - the Schr¨odinger equation - has bound solutions. We investigate how well these Schr¨odinger solutions solve the Dirac equation by time-evolving them and determining their energy distribution. Their evolution under the Dirac equation can be explained in terms of unstable resonance solutions for the Dirac equation. We show that these resonances also appear as transmission resonances for positrons scattering off the linear potential.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Degree programme: | Physics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 08:26 |
| Last Modified: | 15 Feb 2018 08:26 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/14906 |
Actions (login required)
 |
View Item |