Bounds on diatomic molecules in a relativistic model

Natalie Gilka

Bounds on diatomic molecules in a relativistic model

Natalie Gilka

Department of Mathematical Sciences

Abstract

We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number N of electrons, the binding energy ΔE _b, and the equilibrium bond distance R ₀. We use a known localization argument adopted to the present relativistic setting, with particular consideration of the critical point of stability, as well as the recently proved relativistic Scott correction.

Original language	English
Journal	Journal of Mathematical Physics
Volume	51
Issue number	3
Pages (from-to)	032303-1 - 032303-13
Number of pages	13
ISSN	0022-2488
Publication status	Published - Mar 2010

Cite this

@article{a0213670a12411df928f000ea68e967b,

title = "Bounds on diatomic molecules in a relativistic model",

abstract = "We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number N of electrons, the binding energy ΔE b, and the equilibrium bond distance R 0. We use a known localization argument adopted to the present relativistic setting, with particular consideration of the critical point of stability, as well as the recently proved relativistic Scott correction.",

author = "Natalie Gilka",

year = "2010",

month = mar,

language = "English",

volume = "51",

pages = "032303--1 -- 032303--13",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "A I P Publishing LLC",

number = "3",

}

TY - JOUR

T1 - Bounds on diatomic molecules in a relativistic model

AU - Gilka, Natalie

PY - 2010/3

Y1 - 2010/3

N2 - We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number N of electrons, the binding energy ΔE b, and the equilibrium bond distance R 0. We use a known localization argument adopted to the present relativistic setting, with particular consideration of the critical point of stability, as well as the recently proved relativistic Scott correction.

AB - We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number N of electrons, the binding energy ΔE b, and the equilibrium bond distance R 0. We use a known localization argument adopted to the present relativistic setting, with particular consideration of the critical point of stability, as well as the recently proved relativistic Scott correction.

M3 - Journal article

SN - 0022-2488

VL - 51

SP - 032303-1 - 032303-13

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -

Bounds on diatomic molecules in a relativistic model

Abstract

Fingerprint

Cite this