On the Spectrum of Two-Particle Schrodinger Operator with Point Interaction

被引：3
|
作者：
Muminov, Zahriddin [1 ,2 ]
Kulzhanov, Utkir [3 ,4 ]
Ismoilov, Golibjon [3 ]
机构：
[1] Natl Univ Uzbekistan, Uzbek Israel Joint Fac, Tashkent 100174, Uzbekistan
[2] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent 100174, Uzbekistan
[3] Samarkand State Univ, Fac Math, Samarkand 140104, Uzbekistan
[4] Tashkent State Univ Econ, Samarkand Branch, Samarkand 140147, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 03期
关键词：
Schrodinger operators; eigenvalues; point interactions; two-body Hamiltonian; essential spectrum;
D O I：
10.1134/S1995080222060257
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a three-dimensional two-particle quantum system interacting with two delta(x +/- x(0)) point interactions centered symmetrically with respect to the origin. The corresponding Schrodinger operator is constructed as a self-adjoint extension of the symmetric Laplace operator, and conditions for the existence of its eigenvalues are studied.
引用
收藏
页码：784 / 792
页数：9
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