Schrodinger operator with point interactions in one dimension

被引：0
|
作者：
Mikhailets, V
机构：
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1996年 / 76卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with Schrodinger operator on the line with delta-interactions on an infinite discrete set. This operator formally corresponds to the differential expression [GRAPHICS] on the Hilbert space L(2)(IR). The operator (1) is a model one for quantum mechanics and many physical problems (see [1] and references therein). Our aim is to study spectral properties of operator (1).
引用
收藏
页码：617 / 618
页数：2
相关论文
共 50 条
  • [21] On the Spectrum of the One-Particle Schrodinger Operator with Point Interaction
    Kulzhanov, Utkir
    Muminov, Z. I.
    Ismoilov, Golibjon
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) : 3525 - 3531
  • [22] A NEW CLASS OF POINT INTERACTIONS IN ONE DIMENSION
    CHERNOFF, PR
    HUGHES, RJ
    JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 111 (01) : 97 - 117
  • [23] Hausdorff dimension of spectrum of one-dimensional Schrodinger operator with Sturmian potentials
    Liu, QH
    Wen, ZY
    POTENTIAL ANALYSIS, 2004, 20 (01) : 33 - 59
  • [24] Positive definite functions and spectral properties of the Schrodinger operator with point interactions
    Goloshchapova, N. I.
    Zastavnyi, V. P.
    Malamud, M. M.
    MATHEMATICAL NOTES, 2011, 90 (1-2) : 149 - 154
  • [25] ON THE SCHRODINGER OPERATOR WITH PERIODIC POINT INTERACTIONS IN THE 3-DIMENSIONAL CASE
    FASSARI, S
    JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (10) : 2910 - 2917
  • [26] p-adic Schrodinger-type operator with point interactions
    Albeverio, S.
    Kuzhel, S.
    Torba, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1267 - 1281
  • [27] ON POINT SPECTRUM OF SCHRODINGER OPERATOR
    MIZOHATA, S
    MOCHIZUKI, K
    PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (09): : 661 - &
  • [28] THE POINT SPECTRUM OF THE SCHRODINGER OPERATOR
    BERTHIER, AM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 290 (08): : 393 - 395
  • [29] PT-invariant point interactions in one dimension
    Coutinho, FAB
    Nogami, Y
    Tomio, L
    Toyama, FM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (29): : L519 - L522
  • [30] Point Interactions in One Dimension and Holonomic Quantum Fields
    Oleg Lisovyy
    Letters in Mathematical Physics, 2006, 77 : 63 - 81
12345