Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant
Journal Article
·
· Journal of Mathematical Physics
- KTH-Mechanics, Royal Institute of Technology, S-10044 Stockholm (Sweden)
- CCDC, 12 Union Road, CB2 1EZ Cambridge (United Kingdom)
It 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.
- OSTI ID:
- 22163006
- Journal Information:
- Journal of Mathematical Physics, Vol. 54, Issue 5; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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