N2 law for bosons in 2D

被引:2
作者
Muthaporn, C [1 ]
Manoukian, EB [1 ]
机构
[1] Suranaree Univ Technol, Sch Phys, Nakhon 30000, Ratchasima, Thailand
关键词
bosonic matter in the bulk; stability of matter; Lieb-Thirring bounds;
D O I
10.1016/S0034-4877(04)90027-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A rigorous upper bound is derived for the exact ground-state energy of N negative charged bosons and N motionless, i.e. fixed, positive charges with Coulomb interactions in 2D for arbitrary N greater than or equal to 4 giving rise to an N-2-upper bound. The consistency of such an N-2 behaviour is also investigated by examining a lower bound to the ground-state energy.
引用
收藏
页码:415 / 424
页数:10
相关论文
共 11 条
[1]  
BADHURI RK, 1996, PHYS REV LETT, V76, P165
[2]   QUANTUM-MECHANICS AND FIELD-THEORY WITH FRACTIONAL SPIN AND STATISTICS [J].
FORTE, S .
REVIEWS OF MODERN PHYSICS, 1992, 64 (01) :193-236
[3]  
Geyer H. B., 1995, FIELD THEORY TOPOLOG
[4]   LOWER BOUND TO ENERGY OF COMPLEX ATOMS [J].
HERTEL, P ;
LIEB, EH ;
THIRRING, W .
JOURNAL OF CHEMICAL PHYSICS, 1975, 62 (08) :3355-3356
[5]   STABILITY OF MATTER .2. [J].
LENARD, A ;
DYSON, FJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (05) :698-&
[6]  
Lieb E.H., 1976, Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann, P269
[7]   BOUND FOR KINETIC-ENERGY OF FERMIONS WHICH PROVES STABILITY OF MATTER [J].
LIEB, EH ;
THIRRING, WE .
PHYSICAL REVIEW LETTERS, 1975, 35 (11) :687-689
[8]   N5-3 LAW FOR BOSONS [J].
LIEB, EH .
PHYSICS LETTERS A, 1979, 70 (02) :71-73
[9]   CORRECTION [J].
LIEB, EH .
PHYSICAL REVIEW LETTERS, 1975, 35 (16) :1116-1116
[10]   N5/3 law for bosons for arbitrary large N [J].
Manoukian, EB ;
Muthaporn, C .
PROGRESS OF THEORETICAL PHYSICS, 2003, 110 (02) :385-391