THE NUMBER OF BOUND STATES OF A ONE-PARTICLE HAMILTONIAN ON A THREE-DIMENSIONAL LATTICE

被引：27
作者：
Lakaev, S. N. [1 ]
Bozorov, I. N. [2 ]
机构：
[1] Samarkand State Univ, Samarkand, Uzbekistan
[2] Acad Sci Uzbek, Samarkand Div, Samarkand, Uzbekistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 158卷 / 03期
关键词：
one-particle Hamiltonian; continuous spectrum; virtual level; eigenvalue; Birman-Schwinger operator; Fredholm determinant; SCHRODINGER-OPERATORS; SPECTRUM;
D O I：
10.1007/s11232-009-0030-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the Hamiltonian (h) over cap (mu lambda), mu, lambda >= 0, describing the motion of one quantum particle on a three-dimensional lattice in an external field. We investigate the number of eigenvalues and their arrangement depending on the value of the interaction energy for mu >= 0 and lambda >= 0.
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页码：360 / 376
页数：17
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