메뉴 건너뛰기




Volumn 70, Issue 3, 2004, Pages 185-194

A schrödinger operator with point interactions on sobolev spaces

Author keywords

Deficiency indices; Point interactions; Schr dinger operator; Self adjoint extension; Sobolev space

Indexed keywords


EID: 15544366895     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-004-5096-3     Document Type: Article
Times cited : (4)

References (19)
  • 3
    • 15544369326 scopus 로고    scopus 로고
    • Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions
    • Albeverio, S. and Nizhnik, L.: Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions. Methods Funct. Anal. Topol. 9 (2003), 273-286.
    • (2003) Methods Funct. Anal. Topol. , vol.9 , pp. 273-286
    • Albeverio, S.1    Nizhnik, L.2
  • 4
    • 3943082000 scopus 로고    scopus 로고
    • On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interaction
    • Albeverio, S. and Nizhnik, L.: On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interaction. Lett. Math. Phys. 65 (2003), 27-35.
    • (2003) Lett. Math. Phys. , vol.65 , pp. 27-35
    • Albeverio, S.1    Nizhnik, L.2
  • 6
    • 0011012629 scopus 로고
    • Bilinear forms and Hubert riggings
    • Institute of Mathematics, Ukr. Acad. Sci., Kiev.
    • Berezansky, Yu. M.: Bilinear forms and Hubert riggings. Spectral analysis of differential operators, Institute of Mathematics, Ukr. Acad. Sci., Kiev. (1980), 83-106.
    • (1980) Spectral Analysis of Differential Operators , pp. 83-106
    • Berezansky, Yu.M.1
  • 7
    • 0038291338 scopus 로고    scopus 로고
    • Generalized selfadjoint operators and their singular perturbations
    • Berezansky, Yu. and Brasche, J.: Generalized selfadjoint operators and their singular perturbations. Methods Fund. Anal. Topol 4 (2002), 1-14.
    • (2002) Methods Fund. Anal. Topol , vol.4 , pp. 1-14
    • Berezansky, Yu.1    Brasche, J.2
  • 8
  • 9
    • 0002179607 scopus 로고
    • Generalized resolvents and boundary value problems for Hermitian operators with gaps
    • Derkach, V. A. and Malamud, M. M.: Generalized resolvents and boundary value problems for Hermitian operators with gaps. J. Fund. Anal. 95 (1991), 1-95.
    • (1991) J. Fund. Anal. , vol.95 , pp. 1-95
    • Derkach, V.A.1    Malamud, M.M.2
  • 11
    • 0008026613 scopus 로고
    • On self-adjoint extensions of Hermitian operators
    • Krasnoselski, M. A.: On self-adjoint extensions of Hermitian operators. Ukr. Mat. Zhur. 1, (1949), 21-38.
    • (1949) Ukr. Mat. Zhur. , vol.1 , pp. 21-38
    • Krasnoselski, M.A.1
  • 12
    • 0000346864 scopus 로고
    • The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications (I, II)
    • Krein, M.: The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications (I, II) Rec. Math. [Mat. Sbornik] N.S. 20 (62), 21 (63) (1947), 431-495, 365-404.
    • (1947) Rec. Math. [Mat. Sbornik] N.S. , vol.20-21 , Issue.62-63 , pp. 431-495
    • Krein, M.1
  • 13
    • 0037275339 scopus 로고    scopus 로고
    • -n-perturbations of self-adjoint operators and Krein's resolvent formula
    • -n-perturbations of self-adjoint operators and Krein's resolvent formula. Integrat. Equ. Oper. Theory 45 (2003), 437-460.
    • (2003) Integrat. Equ. Oper. Theory , vol.45 , pp. 437-460
    • Kurasov, P.1
  • 16
    • 0008069648 scopus 로고
    • On a formula of the generalized resolvents of a nondensely defined Hermitian operator
    • Malamud, M.: On a formula of the generalized resolvents of a nondensely defined Hermitian operator. Ukr. Math. J. 44 (1992), 1522-1547.
    • (1992) Ukr. Math. J. , vol.44 , pp. 1522-1547
    • Malamud, M.1
  • 17
    • 15544367813 scopus 로고    scopus 로고
    • Boundary value problems with singular conditions on boundary components of small dimensions
    • Nizhnik, L. P.: Boundary value problems with singular conditions on boundary components of small dimensions. Meth. Fund. Anal. Topol. 1 (2001), 76-81.
    • (2001) Meth. Fund. Anal. Topol. , vol.1 , pp. 76-81
    • Nizhnik, L.P.1
  • 18
    • 0037245546 scopus 로고    scopus 로고
    • Schrödinger operator with δ'-interaction
    • Nizhnik, L. P.: Schrödinger operator with δ'-interaction. J. Fund. Anal. Appl. 37(1) (2003), 85-88.
    • (2003) J. Fund. Anal. Appl. , vol.37 , Issue.1 , pp. 85-88
    • Nizhnik, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.