Relativistic Molecules with Coulomb Interaction

Ingrid Daubechies; Elliot H. Lieb

doi:10.1016/S0304-0208(08)73689-2

Relativistic Molecules with Coulomb Interaction

Ingrid Daubechies
, Elliot H. Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

As an approximation to a relativistic one-electron molecule, we study the operator, with Z_j≥ 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 | R_j- R_k.

Original language	English (US)
Pages (from-to)	143-148
Number of pages	6
Journal	North-Holland Mathematics Studies
Volume	92
Issue number	C
DOIs	https://doi.org/10.1016/S0304-0208(08)73689-2
State	Published - Jan 1 1984

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Relativistic Molecules with Coulomb Interaction",

abstract = "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.",

author = "Ingrid Daubechies and Lieb, \{Elliot H.\}",

note = "Funding Information: {"}Work partially supported by U. S. National Science Foundation grant PHY-8116101-AO1.",

year = "1984",

month = jan,

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doi = "10.1016/S0304-0208(08)73689-2",

language = "English (US)",

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journal = "North-Holland Mathematics Studies",

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T1 - Relativistic Molecules with Coulomb Interaction

AU - Daubechies, Ingrid

AU - Lieb, Elliot H.

N1 - Funding Information: "Work partially supported by U. S. National Science Foundation grant PHY-8116101-AO1.

PY - 1984/1/1

Y1 - 1984/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0346733622

UR - https://www.scopus.com/pages/publications/0346733622#tab=citedBy

U2 - 10.1016/S0304-0208(08)73689-2

DO - 10.1016/S0304-0208(08)73689-2

M3 - Article

AN - SCOPUS:0346733622

SN - 0304-0208

VL - 92

SP - 143

EP - 148

JO - North-Holland Mathematics Studies

JF - North-Holland Mathematics Studies

IS - C

ER -

Relativistic Molecules with Coulomb Interaction

Abstract

All Science Journal Classification (ASJC) codes

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