Quantum mechanics in a cut Fock space

被引:0
作者
Trzetrzelewski, M [1 ]
机构
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, PL-30059 Krakow, Poland
来源
ACTA PHYSICA POLONICA B | 2004年 / 35卷 / 10期
关键词
D O I
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A recently introduced numerical approach to quantum systems is analyzed. The basis of a Fock space is restricted and represented in an algebraic program. Convergence with increasing size of basis is proved and the difference between discrete and continuous spectrum is stressed. In particular a new scaling low for nonlocalized states is obtained. Exact solutions for several cases as well as general properties of the method are given.
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页码:2393 / 2415
页数:23
相关论文
共 15 条
[1]  
Abramowitz M., 1968, HDB MATH FUNCTIONS F
[2]   M theory as a matrix model: A conjecture [J].
Banks, T ;
Fischler, W ;
Shenker, SH ;
Susskind, L .
PHYSICAL REVIEW D, 1997, 55 (08) :5112-5128
[3]   Exact Witten index in D=2 supersymmetric Yang-Mills quantum mechanics [J].
Campostrini, M ;
Wosiek, J .
PHYSICS LETTERS B, 2002, 550 (1-2) :121-127
[4]  
CAMPOSTRINI M, HEPTH0407021
[5]   SUPERSYMMETRIC GROUND-STATE WAVE-FUNCTIONS [J].
CLAUDSON, M ;
HALPERN, MB .
NUCLEAR PHYSICS B, 1985, 250 (04) :689-715
[6]  
Cooper F., 1995, Physics Reports, V251, P267, DOI 10.1016/0370-1573(94)00080-M
[7]   THE SUPERMEMBRANE IS UNSTABLE [J].
DEWIT, B ;
LUSCHER, M ;
NICOLAI, H .
NUCLEAR PHYSICS B, 1989, 320 (01) :135-159
[8]   0-brane quantum chemistry [J].
Kares, V .
NUCLEAR PHYSICS B, 2004, 689 (1-2) :53-75
[9]   Hamiltonian study of supersymmetric Yang-Mills quantum mechanics [J].
Kotanski, J ;
Wosiek, J .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2003, 119 :932-934
[10]   Solutions of extended supersymmetric matrix models for arbitrary gauge groups [J].
Samuel, S .
PHYSICS LETTERS B, 1997, 411 (3-4) :268-273