Abstract
The WKB approximation is developed for the Dirac equation with the spherically symmetrical vector and scalar potentials. The relativistic wavefunctions are constructed, new quantization rule containing the spin-orbital interaction is obtained. For spherically symmetrical model of the Stark effect the quasi-classical spectrum of relativistic hydrogen-like atom is calculated. Application of the WKB method to the mass spectrum of the hydrogen-like quark systems was done.
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Rubish, V.V., Lazur, V.Y., Reity, O.K. et al. The WKB method for the Dirac equation with the vector and scalar potentials. Czech J Phys 54, 897–919 (2004). https://doi.org/10.1023/B:CJOP.0000042643.47049.98
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DOI: https://doi.org/10.1023/B:CJOP.0000042643.47049.98