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Cited by 302

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Infinite-order two-component theory for relativistic quantum chemistry

Barysz, Maria, Sadlej, Andrzej J.·2002·The Journal of Chemical Physics

Abstract

A method for the iterative algebraic generation of the numerically accurate two-component Hamiltonian for the use in relativistic quantum chemistry is presented. The separation of the electronic and positronic states of the Dirac Hamiltonian is accomplished by the algebraic solution for the Foldy–Wouthuysen transformation. This leads to the two-component formalism whose accuracy is primarily limited by the choice of basis functions. Its performance is tested in calculations of the most sensitive 1s1/2 energy for increasing values of the nuclear charge. These calculations show that the electronic part of the Dirac eigenspectrum can be obtained from the two-component theory to arbitrarily high accuracy. Moreover, if needed, the positronic states can be separately determined in a similar way. Thus the present method can be also used for the evaluation of quantum electrodynamic corrections in the finite basis set approximation.

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Metadata

Authors
Barysz, M., & Sadlej, A. J.
Venue
The Journal of Chemical Physics
Published
2002-02-15
Volume
116
Issue
7
Pages
2696-2704
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W1986773091
Cited by
302
References
1
FWCI
5.82
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Infinite-order two-component theory for relativistic quantum chemistry. https://app.cochat.ai/papers/10.1063/1.1436462
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Barysz, M., & Sadlej, A. J. (2002). Infinite-order two-component theory for relativistic quantum chemistry. The Journal of Chemical Physics. https://doi.org/10.1063/1.1436462

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