Finite basis set approach to the two-centre Dirac problem in Cassini coordinates
نویسندگان
چکیده
We lay out a new approach to solving the two–center Dirac eigenvalue problem. It is based on application of B–spline basis sets constructed in Cassini coordinates. The approach provides a very promising way for the theoretical description of various atomic processes such as charge transfer, excitation, ionization and electron–positron pair production, that accompany slow collisions of heavy ions. Moreover, yielding a (quasi) complete set of eigensolutions, the finite–basis–set method allows a systematic analysis of the quantum electrodynamics (QED) corrections to the energy levels of heavy quasi–molecules formed in these collisions. PACS numbers: 34.10.+x, 34.50.-s Submitted to: J. Phys. B: At. Mol. Opt. Phys. Confidential: not for distribution. Submitted to IOP Publishing for peer review 30 September 2010
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