Math @ Duke

Publications [#287123] of Ingrid Daubechies
Papers Published
 Daubechies, I; Lieb, EH, Relativistic Molecules with Coulomb Interaction,
NorthHolland Mathematics Studies, vol. 92 no. C
(January, 1984),
pp. 143148, Elsevier, ISSN 03040208 [doi]
(last updated on 2019/09/23)
Abstract: As an approximation to a relativistic oneelectron 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.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

