Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsacker model

被引：10

作者：

Benguria, Rafael D. ^{[1
]}

Loss, Michael ^{[2
]}

Siedentop, Heinz ^{[3
]}

机构：

[1] Pontificia Univ Catolica Chile, Dept Phys, Santiago, Chile

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[3] Univ Munich, Inst Math, D-80333 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.2832620

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsacker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability. (c) 2008 American Institute of Physics.

引用

页数：7

共 15 条

[1] The ultrarelativistic Thomas-Fermi-von Weizsacker model [J].

Benguria, RD ;

Pérez-Oyarzún, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (15) :3409-3414

[2] ONE-ELECTRON RELATIVISTIC MOLECULES WITH COULOMB INTERACTION [J].

DAUBECHIES, I ;

LIEB, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 90 (04) :497-510

[3] FIELD-THEORETICAL APPROACH TO A RELATIVISTIC THOMAS-FERMI-DIRAC-WEIZSACKER MODEL [J].

ENGEL, E ;

DREIZLER, RM .

PHYSICAL REVIEW A, 1987, 35 (09) :3607-3618

[4] SOLUTION OF THE RELATIVISTIC THOMAS-FERMI-DIRAC-WEIZSACKER MODEL FOR THE CASE OF NEUTRAL ATOMS AND POSITIVE-IONS [J].

ENGEL, E ;

DREIZLER, RM .

PHYSICAL REVIEW A, 1988, 38 (08) :3909-3917

[5]

FRANK RL, IN PRESS COMMUN MATH

[6] QUANTUM CORRECTIONS TO THOMAS-FERMI APPROXIMATION - KIRZHNITS METHOD [J].

HODGES, CH .

CANADIAN JOURNAL OF PHYSICS, 1973, 51 (13) :1428-1437

[7]

KIRZNITS DA, 2007, FIELD THEORETICAL ME

[8] THOMAS-FERMI AND RELATED THEORIES OF ATOMS AND MOLECULES [J].

LIEB, EH .

REVIEWS OF MODERN PHYSICS, 1981, 53 (04) :603-641

[9] MANY-BODY STABILITY IMPLIES A BOUND ON THE FINE-STRUCTURE CONSTANT [J].

LIEB, EH ;

YAU, HT .

PHYSICAL REVIEW LETTERS, 1988, 61 (15) :1695-1697

[10] ANALYSIS OF THE THOMAS-FERMI-VONWEIZSACKER EQUATION FOR AN INFINITE ATOM WITHOUT ELECTRON REPULSION [J].

LIEB, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (01) :15-25

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