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Journal of Physical Studies 14(1), Article 1301 [16 pages] (2010)
DOI: https://doi.org/10.30970/jps.14.1301 THE RELATIVISTIC QUASICLASSICAL THEORY OF TUNNELING IONIZATION IN AN EXTERNAL SCALAR AND VECTOR FIELDSV. Yu. Lazur, V. V. Rubish, O. K. Reity
Uzhgorod National University, Department of Theoretical Physics, |
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The Bohr-Sommerfeld quantization rule and the Gamow formula for the width of quasistationary level are generalized with taking into account the relativistic effects, spin and Lorentz structure of the interaction potentials. The relativistic quasiclassical theory of ionization of the Coulomb system ($V_{\rm Coul}=-ξ/r$) by radial-constant long-range scalar ($S_{\rm l.r.}=(1-λ)(σ r+V_0)$) and vector ($V_{\rm l.r.}=λ(σ r+V_0)$) fields is constructed. In limiting cases the approximated analytical expressions for the position $E_r$ and width $Γ$ of sub-barrier resonances are obtained. A strong dependence of the width $Γ$ of sub-barrier resonances both on the bound level energy and the mixing constant $λ$ is detected. Simple analytical formulae for asymptotic coefficients of the Dirac radial wave functions at zero and infinity also are obtained.
PACS number(s): 03.65.Pm, 03.65.Sq, 03.65.Xp, 31.15.Gy, 32.60.+i, 32.70.Jz