Geometrical derivation of a new ground state formula for the n-electron Friedel resonance model

被引:9
作者
Bergmann, G [1 ]
机构
[1] Univ So Calif, Dept Phys, Los Angeles, CA 90089 USA
关键词
71.10.-w Theories and models of many electron systems; 71.55.-i Impurity and defect levels;
D O I
10.1007/s100510050245
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The n-electron ground state of the Friedel resonance model can be written as a single Slater determinant of n s-electrons plus one d-electron-s-hole companion. This new formula is derived geometrically in the Hilbert space. The derivation uses che fact that a it-electron Slater determinant, built fi om N band states, corresponds to a n-dimensional subspace in the N-dimensional Hilbert space.
引用
收藏
页码:233 / 235
页数:3
相关论文
共 7 条
[1]   A new many-body solution of the Friedel resonance problem [J].
Bergmann, G .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1997, 102 (03) :381-383
[2]   ELECTRONIC STRUCTURE OF PRIMARY SOLID SOLUTIONS IN METALS [J].
FRIEDEL, J .
ADVANCES IN PHYSICS, 1954, 3 (12) :446-507
[3]   ON SOME ELECTRICAL AND MAGNETIC PROPERTIES OF METALLIC SOLID SOLUTIONS [J].
FRIEDEL, J .
CANADIAN JOURNAL OF PHYSICS, 1956, 34 (12) :1190-1211
[4]  
FRIEDEL J, 1952, PHILOS MAG, V43, P153
[5]  
FRIEDEL J, 1954, PHILOS MAG S, V7, P446
[6]  
FRIEDEL J, 1958, J PHYS RADIUM, V19, P38
[7]  
Friedel J., 1958, NUOVO CIM SUPPL, V7, P287, DOI DOI 10.1007/BF02751483