The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

被引:0
|
作者
A. T. Boltaev
F. M. Almuratov
机构
[1] Romanovskii Institute of Mathematics,
[2] Samarkand State University,undefined
来源
关键词
Schrödinger-type operator; eigenvalue; essential spectrum; coupling constant threshold; asymptotics;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:3460 / 3470
页数:10
相关论文
共 50 条
  • [1] The Existence and Asymptotics of Eigenvalues of Schrodinger Operator on Two Dimensional Lattices
    Boltaev, A. T.
    Almuratov, F. M.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) : 3460 - 3470
  • [2] The Asymptotics of the Number of Eigenvalues of a Three-Particle Lattice Schrödinger Operator
    S. N. Lakaev
    Z. I. Muminov
    [J]. Functional Analysis and Its Applications, 2003, 37 : 228 - 231
  • [3] On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator
    Abdullaev, J. I.
    Boymurodov, J. K.
    Khalkhuzhaev, A. M.
    [J]. MATHEMATICAL NOTES, 2023, 114 (5-6) : 645 - 658
  • [4] On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator
    J. I. Abdullaev
    J. K. Boymurodov
    A. M. Khalkhuzhaev
    [J]. Mathematical Notes, 2023, 114 : 645 - 658
  • [5] Accurate Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator
    Bernard Helffer
    Yuri A. Kordyukov
    [J]. Annales Henri Poincaré, 2015, 16 : 1651 - 1688
  • [6] THE EXISTENCE OF EIGENVALUES OF SCHRO?DINGER OPERATOR ON THREE DIMENSIONAL LATTICE
    Abdullaev, J. I.
    Khalkhuzhaev, A. M.
    Kuliev, K. D.
    [J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2022, 28 (03): : 189 - 208
  • [7] The number of eigenvalues of the two-particle discrete Schrödinger operator
    S. N. Lakaev
    A. M. Khalkhuzhaev
    [J]. Theoretical and Mathematical Physics, 2009, 158 : 221 - 232
  • [8] Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice
    S. N. Lakaev
    Sh. U. Alladustov
    [J]. Theoretical and Mathematical Physics, 2014, 178 : 336 - 346
  • [9] Extrinsic estimates for the eigenvalues of Schrödinger operator
    Guangyue Huang
    Xingxiao Li
    Ruiwei Xu
    [J]. Geometriae Dedicata, 2009, 143 : 89 - 107
  • [10] On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice
    S. N. Lakaev
    Sh. I. Khamidov
    [J]. Lobachevskii Journal of Mathematics, 2022, 43 : 3541 - 3551