Levinson’s theorem for Dirac particles moving in a background magnetic monopole field
- 15 October 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 32 (8) , 2203-2212
- https://doi.org/10.1103/physrevd.32.2203
Abstract
A generalized Levinson’s theorem for a Dirac particle moving in a background magnetic monopole field is derived. The phase shifts are defined from the phases of appropriate combinations of the radial functions at infinity.Keywords
This publication has 18 references indexed in Scilit:
- Proof of the Levinson theorem by the Sturm–Liouville theoremJournal of Mathematical Physics, 1985
- Levinson's Theorem and the Nodes of Zero-Energy Wave Functions for Potentials with Repulsive Coulomb TailsPhysical Review Letters, 1985
- Fractional charge and spectral asymmetry in one dimension: A closer lookPhysical Review D, 1985
- Levinson theorem for Dirac particlesPhysical Review D, 1985
- Nodal structure of zero-energy wave functions: New approach to Levinson’s theoremPhysical Review A, 1985
- Nonlocal interactions: The generalized Levinson theorem and the structure of the spectrumJournal of Mathematical Physics, 1977
- Noncentral potentials: The generalized Levinson theorem and the structure of the spectrumJournal of Mathematical Physics, 1977
- Generalization of Levinson's Theorem to Three-Body SystemsPhysical Review B, 1965
- Analytic Properties of Radial Wave FunctionsJournal of Mathematical Physics, 1960
- On the validity of Levison’s theorem for non-local interactionsIl Nuovo Cimento (1869-1876), 1958