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Volumn 35, Issue 15, 2002, Pages 3479-3487

Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop

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EID: 0037134390     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/15/309     Document Type: Article
Times cited : (21)

References (14)
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    • Spectral analysis and scattering theory for Schrödinger operators with an interaction supported by a regular curve
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    • (1992) Ideas and Methods in Quantum and Statistical Physics , pp. 197-211
    • Brasche, J.F.1    Teta, A.2
  • 4
    • 35949012132 scopus 로고
    • Persistent currents in small one-dimensional metal rings
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    • [CGR] Cheng H F, Gefen Y, Riedel E K and Shih W H 1988 Persistent currents in small one-dimensional metal rings Phys. Rev. B 37 6050-62
    • (1988) Phys. Rev. B , vol.37 , pp. 6050-6062
    • Cheng, H.F.1    Gefen, Y.2    Riedel, E.K.3    Shih, W.H.4
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    • 0035937060 scopus 로고    scopus 로고
    • Geometrically induced spectrum in curved leaky wires
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    • [EI] Exner P and Ichinose T 2001 Geometrically induced spectrum in curved leaky wires J, Phys. A: Math. Gen. A 34 1439-50
    • (2001) J. Phys. A: Math. Gen. A , vol.34 , pp. 1439-1450
    • Exner, P.1    Ichinose, T.2
  • 7
    • 0001122314 scopus 로고
    • Bound states in curved quantum waveguides
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    • [ES] Exner P and Seba P 1989 Bound states in curved quantum waveguides J. Math. Phys. 30 2574-80
    • (1989) J. Math. Phys. , vol.30 , pp. 2574-2580
    • Exner, P.1    Seba, P.2
  • 8
    • 0036193004 scopus 로고    scopus 로고
    • Asymptotics of eigenvalues of the Schrödinger operator with a strong (δ-interaction on a loop
    • [EY] math-ph/0103029 and mp-arc 01-108
    • [EY] Exner P and Yoshitomi K 2002 Asymptotics of eigenvalues of the Schrödinger operator with a strong (δ-interaction on a loop J. Geom. Phys. 41 344-58 (math-ph/0103029 and mp-arc 01-108)
    • (2002) J. Geom. Phys. , vol.41 , pp. 344-358
    • Exner, P.1    Yoshitomi, K.2
  • 9
    • 0034394014 scopus 로고    scopus 로고
    • On the extended nature of edge states of quantum Hall Hamiltonians
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    • [FGW] Fröhlich J, Graf G M and Walcher J 2000 On the extended nature of edge states of quantum Hall Hamiltonians Ann. H Poincaré 1 405-42
    • (2000) Ann. H Poincaré , vol.1 , pp. 405-442
    • Fröhlich, J.1    Graf, G.M.2    Walcher, J.3
  • 11
    • 23544435097 scopus 로고
    • Quantized Hall conductance, current carrying edge states, and the existence of extended states in two-dimensional disordered potential
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    • [Ha] Halperin B I 1982 Quantized Hall conductance, current carrying edge states, and the existence of extended states in two-dimensional disordered potential Phys. Rev. B 25 2185-90
    • (1982) Phys. Rev. B , vol.25 , pp. 2185-2190
    • Halperin, B.I.1
  • 12
    • 0001675445 scopus 로고
    • Quantized Hall effect and edge currents
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    • [MS] MacDonald A H and Středa P 1984 Quantized Hall effect and edge currents Phys. Rev. B 29 1616-9
    • (1984) Phys. Rev. B , vol.29 , pp. 1616-1619
    • MacDonald, A.H.1    Středa, P.2
  • 13
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    • On edge states in semi-infinite quantum Hall systems
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    • [MMP] Macris N, Martin Ph A and Pulé J V 1999 On edge states in semi-infinite quantum Hall systems J. Phys. A: Math. Gen. 32 1985-96
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 1985-1996
    • Macris, N.1    Martin, Ph.A.2    Pulé, J.V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.