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Volumn 38, Issue 22, 2005, Pages 4917-4931

Branched quantum wave guides with Dirichlet boundary conditions: The decoupling case

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EID: 19944422439     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/22/015     Document Type: Article
Times cited : (49)

References (17)
  • 1
    • 0001548589 scopus 로고
    • Quantum bound states in open geometries
    • 10.1103/PhysRevB.44.8028 0163-1829 B
    • Avishai Y, Bessis D, Giraud B G and Mantica G 1991 Quantum bound states in open geometries Phys. Rev. B 44 8028-34
    • (1991) Phys. Rev. , vol.44 , Issue.15 , pp. 8028-8034
    • Avishai, Y.1    Bessis, D.2    Giraud, B.G.3    Mantica, G.4
  • 3
    • 0002570054 scopus 로고
    • Curvature-induced bound states in quantum waveguides in two and three dimensions
    • 10.1142/S0129055X95000062 0129-055X
    • Duclos P and Exner P 1995 Curvature-induced bound states in quantum waveguides in two and three dimensions Rev. Math. Phys. 7 73-102
    • (1995) Rev. Math. Phys. , vol.7 , Issue.1 , pp. 73-102
    • Duclos, P.1    Exner, P.2
  • 4
    • 16244421065 scopus 로고    scopus 로고
    • Convergence of spectra of graph-like thin manifolds
    • 0393-0440
    • Exner P and Post O 2005 Convergence of spectra of graph-like thin manifolds J. Geom. Phys. at press
    • (2005) J. Geom. Phys.
    • Exner, P.1    Post, O.2
  • 5
    • 0001122314 scopus 로고
    • Bound states in curved quantum waveguides
    • 10.1063/1.528538 0022-2488
    • Exner P and Šeba P 1989 Bound states in curved quantum waveguides J. Math. Phys. 30 2574-80
    • (1989) J. Math. Phys. , vol.30 , Issue.11 , pp. 2574-2580
    • Exner, P.1    Šeba, P.2
  • 7
    • 19944380220 scopus 로고
    • First-order asymptotics of the principal eigenvalue of tubular neighborhoods
    • Karp L and Pinsky M 1988 First-order asymptotics of the principal eigenvalue of tubular neighborhoods Geometry of Random Motion (Ithaca, NY, 1987) (Contemp. Math. vol 73) (Providence, RI: American Mathematical Society) pp 105-19
    • (1988) Geometry of Random Motion , pp. 105-119
    • Karp, L.1    Pinsky, M.2
  • 8
    • 0033613617 scopus 로고    scopus 로고
    • Kirchhoff's rule for quantum wires
    • 0305-4470 006
    • Kostrykin V and Schrader R 1999 Kirchhoff's rule for quantum wires J. Phys. A: Math. Gen. 32 595-630
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.4 , pp. 595-630
    • Kostrykin, V.1    Schrader, R.2
  • 9
    • 0036804366 scopus 로고    scopus 로고
    • Graph models for waves in thin structures
    • 10.1088/0959-7174/12/4/201 0959-7174
    • Kuchment P 2002 Graph models for waves in thin structures Waves Random Media 12 R1-R24
    • (2002) Waves Random Media , vol.12 , Issue.4
    • Kuchment, P.1
  • 10
    • 0942278598 scopus 로고    scopus 로고
    • Quantum graphs: I. Some basic structures
    • 10.1088/0959-7174/14/1/014 0959-7174
    • Kuchment P 2004 Quantum graphs: I. Some basic structures Waves Random Media 14 S107-S128
    • (2004) Waves Random Media , vol.14 , Issue.1
    • Kuchment, P.1
  • 11
    • 0035877564 scopus 로고    scopus 로고
    • Convergence of spectra of mesoscopic systems collapsing onto a graph
    • 10.1006/jmaa.2000.7415 0022-247X
    • Kuchment P and Zeng H 2001 Convergence of spectra of mesoscopic systems collapsing onto a graph J. Math. Anal. Appl. 258 671-700
    • (2001) J. Math. Anal. Appl. , vol.258 , Issue.2 , pp. 671-700
    • Kuchment, P.1    Zeng, H.2
  • 12
    • 16244386019 scopus 로고    scopus 로고
    • Asymptotics of spectra of Neumann Laplacians in thin domains
    • Kuchment P and Zeng H 2003 Asymptotics of spectra of Neumann Laplacians in thin domains Advances in Differential Equations and Mathematical Physics (Birmingham, AL, 2002) (Contemp. Math. vol 327) (Providence, RI: American Mathematical Society) pp 199-213
    • (2003) Advances in Differential Equations and Mathematical Physics , pp. 199-213
    • Kuchment, P.1    Zeng, H.2
  • 13
    • 0346361628 scopus 로고    scopus 로고
    • Eigenvalues in spectral gaps of a perturbed periodic manifold
    • 10.1002/mana.200310117 0025-584X
    • Post O 2003 Eigenvalues in spectral gaps of a perturbed periodic manifold Mathematische Nachrichten 261-262 141-62
    • (2003) Mathematische Nachrichten , vol.261-262 , Issue.1 , pp. 141-162
    • Post, O.1
  • 14
    • 0001592294 scopus 로고
    • Free-electron network model for conjugated systems, I. Theory
    • 10.1063/1.1699299 0021-9606
    • Ruedenberg K and Scherr C W 1953 Free-electron network model for conjugated systems, I. Theory J. Chem. Phys. 21 1565-81
    • (1953) J. Chem. Phys. , vol.21 , Issue.9 , pp. 1565-1581
    • Ruedenberg, K.1    Scherr, C.W.2
  • 16
    • 0035624180 scopus 로고    scopus 로고
    • Variational problems on multiply connected thin strips. I. Basic estimates and convergence of the Laplacian spectrum
    • 10.1007/s002050100164 0003-9527
    • Rubinstein J and Schatzman M 2001 Variational problems on multiply connected thin strips. I. Basic estimates and convergence of the Laplacian spectrum Arch. Rat. Mech. Anal. 160 271-308
    • (2001) Arch. Rat. Mech. Anal. , vol.160 , Issue.4 , pp. 271-308
    • Rubinstein, J.1    Schatzman, M.2
  • 17
    • 24244481822 scopus 로고
    • Quantum bound states in a classically unbound system of crossed wires
    • 10.1103/PhysRevB.39.5476 0163-1829 B
    • Schult R L, Ravenhall D G and Wyld H W 1989 Quantum bound states in a classically unbound system of crossed wires Phys. Rev. B 39 5476-9
    • (1989) Phys. Rev. , vol.39 , Issue.8 , pp. 5476-5479
    • Schult, R.L.1    Ravenhall, D.G.2    Wyld, H.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.