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Article
Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant.
| Authors: |
Thylwe, K.-E., McCabe, P. |
| Document Type: |
Article |
| Pubstate: |
Accepted |
| Journal: |
Journal of Mathematical Physics |
| Volume: |
54
052301 |
| Year: |
2013 |
AbstractIt is shown that solutions of the second-order decoupled radial Dirac equations satisfy Ermakov- type invariants. These invariants lead to amplitude-phase-type representations of the radial spinor solutions, with exact relations between their amplitudes and phases. Implications leading to a Bohr-Sommerfeld quantization condition for bound states, and a few particular atomic/ionic and nuclear/hadronic bound-state situations are discussed.
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