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Volumn 2, Issue 6, 2001, Pages 1139-1158

Band gap of the Schrödinger operator with a strong δ-interaction on a periodic curve

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EID: 0035543270     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-001-8605-2     Document Type: Article
Times cited : (28)

References (14)
  • 3
    • 49449119391 scopus 로고
    • The bound state of weakly coupled long-range one-dimensional quantum hamiltonians
    • R. Blanckenberger, M. Goldberger and B. Simon, The bound state of weakly coupled long-range one-dimensional quantum Hamiltonians, Ann. Phys. 108, 69-77 (1977).
    • (1977) Ann. Phys. , vol.108 , pp. 69-77
    • Blanckenberger, R.1    Goldberger, M.2    Simon, B.3
  • 4
    • 33646975016 scopus 로고
    • Eine umkehrung der sturm-liouvillschen eigenwertaufgabe. Bestimmung der differentialgleichung durch die eigenwerte
    • G. Borg, Eine Umkehrung der Sturm-Liouvillschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte, Acta Math. 78, 1-96 (1946).
    • (1946) Acta Math. , vol.78 , pp. 1-96
    • Borg, G.1
  • 6
    • 0000538428 scopus 로고
    • Spectral analysis and scattering theory for schrödinger operators with an interaction supported by a regular curve
    • Cambridge Univ. Press
    • J.F. Brasche, A. Teta, Spectral analysis and scattering theory for Schrödinger operators with an interaction supported by a regular curve, in Ideas and Methods in Quantum and Statistical Physics, Cambridge Univ. Press 1992, 197-211.
    • (1992) Ideas and Methods in Quantum and Statistical Physics , pp. 197-211
    • Brasche, J.F.1    Teta, A.2
  • 7
    • 0035937060 scopus 로고    scopus 로고
    • Geometrically induced spectrum in curved leaky wires
    • P. Exner and T. Ichinose, Geometrically induced spectrum in curved leaky wires, J. Phys. A34, 1439-1450 (2001).
    • (2001) J. Phys. , vol.A34 , pp. 1439-1450
    • Exner, P.1    Ichinose, T.2
  • 8
    • 0007363254 scopus 로고    scopus 로고
    • Asymptotics of eigenvalues of the schrödinger operator with a strong δ-interaction on a loop, math-ph/0103029 and mp-arc 01-108
    • to appear
    • P. Exner and K. Yoshitomi, Asymptotics of eigenvalues of the Schrödinger operator with a strong δ-interaction on a loop, math-ph/0103029 and mp-arc 01-108 (http://www.ma.utexas.edu/mp_arc/) ; J. Geom. Phys. to appear.
    • J. Geom. Phys.
    • Exner, P.1    Yoshitomi, K.2
  • 9
    • 33646978170 scopus 로고
    • On the determination of a hill's equation from its spectrum
    • H. Hochstadt, On the determination of a Hill's equation from its spectrum, Arch. Rat. Mech. Anal. 19, 353-362 (1965).
    • (1965) Arch. Rat. Mech. Anal. , vol.19 , pp. 353-362
    • Hochstadt, H.1
  • 11
    • 0007406302 scopus 로고
    • Methods of modern mathematical physics
    • Academic Press, New York
    • M. Reed and B. Simon, Methods of modern mathematical physics, IV. Analysis of operators, Academic Press, New York 1978.
    • (1978) IV. Analysis of Operators
    • Reed, M.1    Simon, B.2
  • 12
    • 5544278008 scopus 로고
    • The bound state of weakly coupled schrödinger operators in one and two dimensions
    • B. Simon, The bound state of weakly coupled Schrödinger operators in one and two dimensions, Ann. Phys. 97, 279-287 (1976).
    • (1976) Ann. Phys. , vol.97 , pp. 279-287
    • Simon, B.1
  • 13
    • 84980084921 scopus 로고
    • Stable hill equations
    • P. Unger, Stable Hill equations, Comm. Pure. Appl. Math. 14, 707-710 (1961).
    • (1961) Comm. Pure. Appl. Math. , vol.14 , pp. 707-710
    • Unger, P.1
  • 14
    • 0003093062 scopus 로고    scopus 로고
    • Band gap of the spectrum in periodically curved quantum waveguides
    • K. Yoshitomi, Band gap of the spectrum in periodically curved quantum waveguides, J. Diff. Eq. 142, 123-166 (1998).
    • (1998) J. Diff. Eq. , vol.142 , pp. 123-166
    • Yoshitomi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.