Leading relativistic corrections for atomic P states calculated with a finite-nuclear-mass approach and all-electron explicitly correlated Gaussian functions

Monika Stanke, Amir Bralin, Sergiy Bubin, Ludwik Adamowicz

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this work we report progress in the development and implementation of quantum-mechanical methods for calculating bound ground and excited states of small atomic systems. The work concerns singlet states with the L=1 total orbital angular momentum (P states). The method is based on the finite-nuclear-mass (non-Born-Oppenheimer; non-BO) approach and the use of all-particle explicitly correlated Gaussian functions for expanding the nonrelativistic wave function of the system. The development presented here includes derivation and implementation of algorithms for calculating the leading relativistic corrections for singlet states. The corrections are determined in the framework of the perturbation theory as expectation values of the corresponding effective operators using the non-BO wave functions. The method is tested in the calculations of the ten lowest P1 states of the helium atom and the four lowest P1 states of the beryllium atom.

Original languageEnglish
Article number012513
JournalPhysical Review A
Volume97
Issue number1
DOIs
Publication statusPublished - Jan 25 2018

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wave functions
helium atoms
beryllium
electrons
derivation
angular momentum
perturbation theory
operators
orbitals
ground state
excitation
atoms

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Leading relativistic corrections for atomic P states calculated with a finite-nuclear-mass approach and all-electron explicitly correlated Gaussian functions. / Stanke, Monika; Bralin, Amir; Bubin, Sergiy; Adamowicz, Ludwik.

In: Physical Review A, Vol. 97, No. 1, 012513, 25.01.2018.

Research output: Contribution to journalArticle

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