PROPERTIES OF AN EXACT CRYSTALLINE MANY-BODY GROUND-STATE

被引:13
作者
FORRESTER, PJ
机构
[1] Department of Mathematics, La Trobe University, Bundoora, 3083, Victoria
关键词
WIGNER SOLID; JASTROW-TYPE WAVE FUNCTION; CORRELATION FUNCTIONS;
D O I
10.1007/BF02188665
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new quantum many-body Hamiltonian is introduced, for which the exact ground state is a Jastrow-type product. This Hamiltonian is interpreted as a one-component Absolute value of x-potential Coulomb system in free boundary conditions, and by explicit calculation it is shown that the ground state is crystalline. The general n-body density matrix is calculated, and is related to the n-body density matrix calculated in periodic boundary conditions.
引用
收藏
页码:331 / 346
页数:16
相关论文
共 16 条
[1]  
Andrews G. E., 1976, ENCY MATH ITS APPL, V2
[2]   RANDOM MATRICES AND INFORMATION THEORY [J].
BALIAN, R .
NUOVO CIMENTO B, 1968, 57 (01) :183-&
[3]  
Brascamp H.J., 1975, FUNCTIONAL INTEGRATI
[4]   ONE-DIMENSIONAL MANY-BODY PROBLEMS WITH PAIR INTERACTIONS WHOSE EXACT GROUND-STATE WAVE-FUNCTION IS OF PRODUCT TYPE [J].
CALOGERO, F .
LETTERE AL NUOVO CIMENTO, 1975, 13 (13) :507-511
[5]  
CHOQUARD P, 1974, PHYSICAL REALITY MAT, P516
[6]  
FEYNMAN RP, 1972, STATISTICAL MECHANIC
[7]   VICIOUS RANDOM WALKERS IN THE LIMIT OF A LARGE NUMBER OF WALKERS [J].
FORRESTER, PJ .
JOURNAL OF STATISTICAL PHYSICS, 1989, 56 (5-6) :767-782
[9]   COMMENSURATE MELTING, DOMAIN-WALLS, AND DISLOCATIONS [J].
HUSE, DA ;
FISHER, ME .
PHYSICAL REVIEW B, 1984, 29 (01) :239-270
[10]  
INOZEMTSEV VI, 1984, PHYS LETT A, V106, P101