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- W2087788670 abstract "A new perturbational approach useful in the relativistic theory of atomic structure is formulated. In this approach the Dirac equation is partitioned into an equivalent of the Schrodinger equation and a perturbation. The relevant perturbation equations and formulae for the corrections to the energy are derived. For the ground state of hydrogen-like atoms all the differential equations arising are solved directly. The power series in Z2/c2 obtained coincide with the exact solution of the Dirac equation. A relativistic version of the variational perturbation method is formulated. In order to demonstrate the usefulness of this approach to the problem of optimising non-linear parameters, the first-order wavefunctions for the ground state of the hydrogen-like atoms have been approximated in terms of exponential basis functions. The minimum value of the appropriate functional is very close to the exact second-order correction to the energy." @default.
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- W2087788670 date "1986-01-28" @default.
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- W2087788670 title "Relativistic perturbation theory. I. A new perturbation approach to the Dirac equation" @default.
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- W2087788670 doi "https://doi.org/10.1088/0022-3700/19/2/005" @default.
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