Levinson theorem for the Dirac equation in D+1 dimensions
Journal Article
·
· Physical Review. A
- China Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
In terms of the generalized Sturm-Liouville theorem, the Levinson theorem for the Dirac equation with a spherically symmetric potential in D+1 dimensions is uniformly established as a relation between the total number of bound states and the sum of the phase shifts of the scattering states at E={+-}M with a given angular momentum. The critical case, where the Dirac equation has a half bound state, is analyzed in detail. A half bound state is a zero-momentum solution if its wave function is finite but does not decay fast enough at infinity to be square integrable.
- OSTI ID:
- 20639766
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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