TY - JOUR
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.
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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 -