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Volumn 165, Issue 1, 1999, Pages 150-172

Common Eigenvalue Problem and Periodic Schrödinger Operators

Author keywords

Periodic Schr dinger operator; absolutely continuous spectrum; local point interactions; self adjoint extensions; common eigenvalues

Indexed keywords


EID: 0008293215     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3406     Document Type: Article
Times cited : (16)

References (17)
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    • (1980) J. Operator Theory , vol.4 , pp. 251-270
    • Alonso, A.1    Simon, B.2
  • 5
    • 0042798706 scopus 로고
    • One-dimensional Schrödinger operators with local point interactions
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    • (1995) J. Reine Angew. Math. , vol.467 , pp. 169-186
    • Bushmann, D.1    Stolz, G.2    Weidmann, J.3
  • 6
    • 0038928445 scopus 로고
    • Abstract symmetric boundary conditions
    • Calkin J. W. Abstract symmetric boundary conditions. Trans. Amer. Math. Soc. 45:1939;369-442.
    • (1939) Trans. Amer. Math. Soc. , vol.45 , pp. 369-442
    • Calkin, J.W.1
  • 10
    • 0041796390 scopus 로고
    • On the spectrum of self-adjoint extensions of a symmetric operator
    • Kochubei A. N. On the spectrum of self-adjoint extensions of a symmetric operator. Mat. Zametki. 19:1976;429-434.
    • (1976) Mat. Zametki , vol.19 , pp. 429-434
    • Kochubei, A.N.1
  • 11
    • 0042798682 scopus 로고
    • On the characteristic functions of symmetric operators and their extensions
    • Kochubei A. N. On the characteristic functions of symmetric operators and their extensions. Izv. Arm. Akad. Nauk. Matematika. 15:1980;219-232.
    • (1980) Izv. Arm. Akad. Nauk. Matematika , vol.15 , pp. 219-232
    • Kochubei, A.N.1
  • 12
    • 0000346864 scopus 로고
    • Theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications, I
    • Krein M. G. Theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications, I. Mat. Sbornik. 20:1947;431-495.
    • (1947) Mat. Sbornik , vol.20 , pp. 431-495
    • Krein, M.G.1
  • 14
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    • Allgemeine Eigenwerttheorie Hermitischer Funktionaloperatoren
    • von Neumann J. Allgemeine Eigenwerttheorie Hermitischer Funktionaloperatoren. Math. Ann. 102:1929;49-131.
    • (1929) Math. Ann. , vol.102 , pp. 49-131
    • Von Neumann, J.1
  • 15
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    • The theory of extensions and explicitly soluble models
    • Pavlov B. S. The theory of extensions and explicitly soluble models. Uspekhi Mat. Nauk. 42:1987;9-131.
    • (1987) Uspekhi Mat. Nauk. , vol.42 , pp. 9-131
    • Pavlov, B.S.1
  • 17
    • 0000485145 scopus 로고
    • Time dependent approach to scattering from impurities in a crystal
    • Thomas L. E. Time dependent approach to scattering from impurities in a crystal. Comm. Math. Phys. 33:1973;335-343.
    • (1973) Comm. Math. Phys. , vol.33 , pp. 335-343
    • Thomas, L.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.