FINITENESS OF THE DISCRETE SPECTRUM IN THE QUANTUM n-PARTICLE PROBLEM

被引:29
作者
Zhislin, G. M. [1 ]
机构
[1] Gorkov Sci Res Radiophys Inst, Moscow, Russia
关键词
D O I
10.1007/BF01035594
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Sufficient conditions are found for the finiteness of the discrete spectrum of the energy operators of quantum many-particle systems in spaces of functions of given symmetry. These conditions enable one in many cases to reduce the problem of the finiteness of the discrete spectrum of the energy operator of a many-particle system to the analogous problem for a two-particle system.
引用
收藏
页码:971 / 980
页数:10
相关论文
共 15 条
[1]  
Antonets M. A., 1973, TEOR MAT FIZ, V14, P235
[2]  
Birman M. Sh., 1961, MAT SBORNIK, V55, P125
[3]  
Courant R., 1953, METHODS MATH PHYS
[4]  
Jgrgens K., 1965, I ANGEW MATH
[6]  
SIGALOV AG, 1970, TEOR MAT FIZ, V5, P73, DOI 10.1007/BF01035981
[7]  
SIMON B, 1970, HELV PHYS ACTA, V43, P607
[8]  
UCHIYAMA J, 1967, PUBL RIMS KYOTO U A, V3, P101
[9]  
UCHIYAMA J, 1969, PUBL RES I MATH SCI, V5, P51
[10]  
Uchiyama J, 1970, PUBL RES I MATH SCI, V6, P193