|
| related topics |
| {equation, function, exp} |
| {energy, state, states} |
| {field, particle, equation} |
| {let, theorem, proof} |
| {wave, scattering, interference} |
| {cos, sin, state} |
| {information, entropy, channel} |
| {state, states, entangled} |
|
Levinson theorem for Dirac particles in two dimensions
Qiong-gui Lin
abstract: The Levinson theorem for nonrelativistic quantum mechanics in two spatial
dimensions is generalized to Dirac particles moving in a central field. The
theorem relates the total number of bound states with angular momentum $j$
($j=\pm 1/2, \pm 3/2, ... $), $n_j$, to the phase shifts $\eta_j(\pm E_k)$ of
scattering states at zero momentum as follows: $\eta_j(\mu)+\eta_j(-\mu)=
n_j\pi$.
- oai_identifier:
- oai:arXiv.org:quant-ph/9806075
- categories:
- quant-ph
- comments:
- LaTeX, no figure
- doi:
- 10.1103/PhysRevA.57.3478
- arxiv_id:
- quant-ph/9806075
- journal_ref:
- Phys.Rev. A57 (1998) 3478-3488
- created:
- 1998-06-23
Full article ▸
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