“Optimal” bounds on the ground-state energy ofN-body systems of bosons and fermions interacting by attractive forces

被引：0

作者：

André Martin

机构：

[1] CERN,Theoretical Physics Division

[2] LAPP (URA 14-36 du CNRS,undefined

[3] associée à L’Ecole Normale Supérieure de Lyon et à l’Université de Savoie),undefined

来源：

Journal of Statistical Physics | 1997年 / 89卷

关键词：

Quantum mechanics; many-body systems; fermions; bosons; optimal bounds;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present inequalities on the ground state energy ofN-body systems which reduce, for bosons and fermions, to the exact solution in the limit where forces approach harmonic oscillator forces.

引用

页码：445 / 451

页数：6

共 31 条

[1] ''Optimal'' bounds on the ground-state energy of N-body systems of bosons and fermions interacting by attractive forces
Martin, A
JOURNAL OF STATISTICAL PHYSICS, 1997, 89 (1-2) : 445 - 451
[2] Ground-state instability in systems of strongly interacting fermions
Artamonov, S.A.
Pogorelov, Yu.G.
Shaginyan, V.R.
JETP Letters (Translation of Pis'ma v Zhurnal Eksperimental'noi Teoreticheskoi Fiziki), 1998, 68 (12):
[3] Ground-state instability in systems of strongly interacting fermions
S. A. Artamonov
V. R. Shaginyan
Yu. G. Pogorelov
Journal of Experimental and Theoretical Physics Letters, 1998, 68 : 942 - 949
[4] Ground-state instability in systems of strongly interacting fermions
Artamonov, SA
Shaginyan, VR
Pogorelov, YG
JETP LETTERS, 1998, 68 (12) : 942 - 949
[5] GROUND-STATE ENERGY AND EXCITATION SPECTRUM OF A SYSTEM OF INTERACTING BOSONS
HUGENHOLTZ, NM
PINES, D
PHYSICAL REVIEW, 1959, 116 (03): : 489 - 506
[6] GROUND-STATE ENERGY AND SOUND VELOCITY OF A SYSTEM OF INTERACTING BOSONS
EMERY, VJ
HOPGOOD, FR
GAMMEL, JL
PHYSICAL REVIEW, 1963, 132 (01): : 10 - &
[7] Improved lower bounds for the ground-state energy of many-body systems
Van Neck, D
Dewulf, Y
Waroquier, M
PHYSICAL REVIEW A, 2001, 63 (06) : 14
[8] LOWER BOUNDS FOR THE GROUND-STATE ENERGY OF SPIN SYSTEMS
VANDENBROEK, PM
PHYSICS LETTERS A, 1981, 81 (2-3) : 185 - 186
[9] GROUND-STATE ENERGY OF A MIXTURE OF FERMIONS AND BOSONS IN 1 DIMENSION WITH A REPULSIVE DELTA-FUNCTION INTERACTION
LAI, CK
YANG, CN
PHYSICAL REVIEW A, 1971, 3 (01): : 393 - &
[10] Pair distribution function for interacting bosons and the ground-state energy of solid helium-4
Khanna, K. M.
Ayodo, Y. K.
Sakwa, T. W.
Rotich, S. K.
Torongey, P. K.
Mbugua, W. S.
INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 2009, 47 (05) : 325 - 331

← 1 2 3 4 →