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Volumn 65, Issue 1, 2003, Pages 75-82

Absolute continuity in periodic thin tubes and strongly coupled leaky wires

Author keywords

Absolute continuity; Periodic systems; Schr dinger operators; Singular interactions

Indexed keywords


EID: 3943090474     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027362115133     Document Type: Article
Times cited : (14)

References (16)
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    • Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves
    • [BSS] Birman, M. S., Suslina, T. A. and Shterenberg, R. G.: Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves, Algebra i Analiz 12 (2000), 140-177; translated in St. Petersburg Math. J. 12 (2001), 535-567.
    • (2000) Algebra i Analiz , vol.12 , pp. 140-177
    • Birman, M.S.1    Suslina, T.A.2    Shterenberg, R.G.3
  • 3
    • 3943087224 scopus 로고    scopus 로고
    • translated
    • [BSS] Birman, M. S., Suslina, T. A. and Shterenberg, R. G.: Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves, Algebra i Analiz 12 (2000), 140-177; translated in St. Petersburg Math. J. 12 (2001), 535-567.
    • (2001) St. Petersburg Math. J. , vol.12 , pp. 535-567
  • 5
    • 0002570054 scopus 로고
    • Curvature-induced bound states in quantum wave-guides in two and three dimensions
    • [DE] Duclos, P. and Exner, P.: Curvature-induced bound states in quantum wave-guides in two and three dimensions, Rev. Math. Phys. 7 (1995), 73-102.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 73-102
    • Duclos, P.1    Exner, P.2
  • 6
    • 0035900639 scopus 로고    scopus 로고
    • Magnetic transport in a straight parabolic channel
    • [EJK] Exner, P., Joye, A. and Kovařik, H.: Magnetic transport in a straight parabolic channel, J. Phys. A 34 (2001), 9733-9752.
    • (2001) J. Phys. A , vol.34 , pp. 9733-9752
    • Exner, P.1    Joye, A.2    Kovařik, H.3
  • 9
    • 0001122314 scopus 로고
    • Bound states in curved quantum waveguides
    • [EŠ] Exner, P. and Šeba, P.: Bound states in curved quantum waveguides, J. Math. Phys. 30 (1989), 2574-2580.
    • (1989) J. Math. Phys. , vol.30 , pp. 2574-2580
    • Exner, P.1    Šeba, P.2
  • 10
    • 0035543270 scopus 로고    scopus 로고
    • Band gap of the Schrödinger operator with a strong δ-interaction on a periodic curve
    • [EY1] Exner, P. and Yoshitomi, K.: Band gap of the Schrödinger operator with a strong δ-interaction on a periodic curve, Ann. H. Poincaré 2 (2001), 1139-1158.
    • (2001) Ann. H. Poincaré , vol.2 , pp. 1139-1158
    • Exner, P.1    Yoshitomi, K.2
  • 11
    • 0037134390 scopus 로고    scopus 로고
    • Persistent currents for 2D Schrödinger operator with a strong δ-interaction on a loop
    • [EY2] Exner, P. and Yoshitomi, K.: Persistent currents for 2D Schrödinger operator with a strong δ-interaction on a loop, J. Phys. A 35 (2002), 3479-3487.
    • (2002) J. Phys. A , vol.35 , pp. 3479-3487
    • Exner, P.1    Yoshitomi, K.2
  • 13
    • 0011683848 scopus 로고    scopus 로고
    • A Krein-like formula for singular perturbations of self-adjoint operators and applications
    • [Po] Posilicano, A.: A Krein-like formula for singular perturbations of self-adjoint operators and applications, J. Funct. Anal. 183 (2001), 109-147.
    • (2001) J. Funct. Anal. , vol.183 , pp. 109-147
    • Posilicano, A.1
  • 15
    • 0036853311 scopus 로고    scopus 로고
    • Absolute continuity in periodic waveguides
    • [SV] Sobolev, A. V. and Walthoe, J.: Absolute continuity in periodic waveguides, Proc. London Math. Soc. 85 (2002), 717-741.
    • (2002) Proc. London Math. Soc. , vol.85 , pp. 717-741
    • Sobolev, A.V.1    Walthoe, J.2
  • 16
    • 0003093062 scopus 로고    scopus 로고
    • Band gap of the spectrum in peridically curved quantum waveguides
    • [Yo] Yoshitomi, K.: Band gap of the spectrum in peridically curved quantum waveguides, J. Differential Equation 142 (1998), 123-166.
    • (1998) J. Differential Equation , vol.142 , pp. 123-166
    • Yoshitomi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.