Scholars@Duke publication: Relativistic Molecules with Coulomb Interaction

Relativistic Molecules with Coulomb Interaction

Publication , Journal Article

Daubechies, I; Lieb, EH

Published in: North Holland Mathematics Studies

January 1, 1984

As an approximation to a relativistic one-electron molecule, we study the operator, with Zj≥ 0 for all j. H is bounded below iff for all j. Under this condition, we show that 1) The system is stable when the nuclear repulsion is taken into account, i.e., where E0 inf spec H.2) the ground state energy E0is an increasing function of the internuclear distances | Rj- Rk. © 1984, Elsevier Science & Technology. All rights reserved.

Duke Scholars

Author Ingrid Daubechies Mathematics

Published In

North Holland Mathematics Studies

DOI

10.1016/S0304-0208(08)73689-2

ISSN

0304-0208

Publication Date

January 1, 1984

Volume

Issue

Start / End Page

143 / 148

Citation

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Daubechies, I., & Lieb, E. H. (1984). Relativistic Molecules with Coulomb Interaction. North Holland Mathematics Studies, 92(C), 143–148. https://doi.org/10.1016/S0304-0208(08)73689-2

Daubechies, I., and E. H. Lieb. “Relativistic Molecules with Coulomb Interaction.” North Holland Mathematics Studies 92, no. C (January 1, 1984): 143–48. https://doi.org/10.1016/S0304-0208(08)73689-2.

Daubechies I, Lieb EH. Relativistic Molecules with Coulomb Interaction. North Holland Mathematics Studies. 1984 Jan 1;92(C):143–8.

Daubechies, I., and E. H. Lieb. “Relativistic Molecules with Coulomb Interaction.” North Holland Mathematics Studies, vol. 92, no. C, Jan. 1984, pp. 143–48. Scopus, doi:10.1016/S0304-0208(08)73689-2.

Daubechies I, Lieb EH. Relativistic Molecules with Coulomb Interaction. North Holland Mathematics Studies. 1984 Jan 1;92(C):143–148.

Published In

North Holland Mathematics Studies

DOI

10.1016/S0304-0208(08)73689-2

ISSN

0304-0208

Publication Date

January 1, 1984

Volume

Issue

Start / End Page

143 / 148