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Volumn 241, Issue 2-3, 2003, Pages 421-452

Value Distribution of the Eigenfunctions and Spectral Determinants of Quantum Star Graphs

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EID: 0242307817     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0941-2     Document Type: Article
Times cited : (37)

References (31)
  • 2
    • 0034288234 scopus 로고    scopus 로고
    • On the level spacing distribution in quantum graphs
    • Barra, F., Gaspard, P.: On the level spacing distribution in quantum graphs. J. Stat. Phys. 101, 283-319 (2000)
    • (2000) J. Stat. Phys. , vol.101 , pp. 283-319
    • Barra, F.1    Gaspard, P.2
  • 4
    • 0033550128 scopus 로고    scopus 로고
    • Two-point spectral correlations for star graphs
    • Berkolaiko, G., Keating, J.P.: Two-point spectral correlations for star graphs. J. Phys. A 32, 7827-7841 (1999)
    • (1999) J. Phys. A , vol.32 , pp. 7827-7841
    • Berkolaiko, G.1    Keating, J.P.2
  • 5
    • 0038635405 scopus 로고    scopus 로고
    • Leading off-diagonal correction to the form factor of large graphs
    • art. no. 104101
    • Berkolaiko, G., Schanz, H., Whitney, R.S.: Leading off-diagonal correction to the form factor of large graphs. Phys. Rev. Lett. 88, art. no. 104101 (2002)
    • (2002) Phys. Rev. Lett. , vol.88
    • Berkolaiko, G.1    Schanz, H.2    Whitney, R.S.3
  • 6
    • 0000450808 scopus 로고
    • Regular and irregular semiclassical wavefunctions
    • Berry, M.V.: Regular and irregular semiclassical wavefunctions. J. Phys. A 10, 2083-2091 (1977)
    • (1977) J. Phys. A , vol.10 , pp. 2083-2091
    • Berry, M.V.1
  • 7
    • 0001578550 scopus 로고
    • Level clustering in the regular spectrum
    • Berry, M.V., Tabor, M.: Level clustering in the regular spectrum. Proc. Roy. Soc. Lond. A 356, 375-394 (1977)
    • (1977) Proc. Roy. Soc. Lond. A , vol.356 , pp. 375-394
    • Berry, M.V.1    Tabor, M.2
  • 8
    • 85035206212 scopus 로고    scopus 로고
    • Models of intermediate spectral statistics
    • Bogomolny, E.B., Gerland, U., Schmit, C.: Models of intermediate spectral statistics. Phys. Rev. E 59, R1315-R1318 (1999)
    • (1999) Phys. Rev. E , vol.59
    • Bogomolny, E.B.1    Gerland, U.2    Schmit, C.3
  • 10
    • 0034683355 scopus 로고    scopus 로고
    • Spectral statistics of chaotic systems with a pointlike scatterer
    • Bogomolny, E.B., Leboeuf, P., Schmit, C.: Spectral statistics of chaotic systems with a pointlike scatterer. Phys. Rev. Lett. 85, 2486-2489 (2000)
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 2486-2489
    • Bogomolny, E.B.1    Leboeuf, P.2    Schmit, C.3
  • 11
    • 0242298216 scopus 로고    scopus 로고
    • Spectral statistics for the Dirac operator on graphs
    • Bolte, J., Harrison, J.: Spectral statistics for the Dirac operator on graphs. J. Phys. A 36, 2747-2769 (2003)
    • (2003) J. Phys. A , vol.36 , pp. 2747-2769
    • Bolte, J.1    Harrison, J.2
  • 12
    • 0034711903 scopus 로고    scopus 로고
    • Spectral determinant of Schrödinger operator on graphs
    • Desbois, J.: Spectral determinant of Schrödinger operator on graphs. J. Phys. A 33, 63-67 (2000)
    • (2000) J. Phys. A , vol.33 , pp. 63-67
    • Desbois, J.1
  • 15
    • 0000829746 scopus 로고
    • Random-matrix theory and eigenmodes of dynamical systems
    • Haake, F., Życzkowski, K.: Random-matrix theory and eigenmodes of dynamical systems. Phys. Rev. A 42, 1013-1016 (1990)
    • (1990) Phys. Rev. A , vol.42 , pp. 1013-1016
    • Haake, F.1    Zyczkowski, K.2
  • 16
    • 0000377106 scopus 로고    scopus 로고
    • Random matrix theory and the derivative of the Riemann zeta function
    • Hughes, C.P., Keating, J.P., O'Connell, N.: Random matrix theory and the derivative of the Riemann zeta function. Proc. Roy. Soc: A 456, 2611-2627 (2000)
    • (2000) Proc. Roy. Soc: A , vol.456 , pp. 2611-2627
    • Hughes, C.P.1    Keating, J.P.2    O'Connell, N.3
  • 17
    • 0034288949 scopus 로고    scopus 로고
    • Random matrix theory and ζ (1/2 + it)
    • Keating, J.P., Snaith, N.C.: Random matrix theory and ζ (1/2 + it). Commun. Math. Phys. 214, 57-89 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 57-89
    • Keating, J.P.1    Snaith, N.C.2
  • 18
    • 0035283469 scopus 로고    scopus 로고
    • Quantum graphs: A model for quantum chaos
    • Kottos, T., Schanz, H.: Quantum graphs: a model for quantum chaos. Physica E 9, 523-530 (2001)
    • (2001) Physica E , vol.9 , pp. 523-530
    • Kottos, T.1    Schanz, H.2
  • 19
  • 20
    • 0347963946 scopus 로고    scopus 로고
    • Periodic orbit theory and spectral statistics for quantum graphs
    • Kottos, T., Smilansky, U.: Periodic orbit theory and spectral statistics for quantum graphs. Ann. Phys. 274, 76-124 (1999)
    • (1999) Ann. Phys. , vol.274 , pp. 76-124
    • Kottos, T.1    Smilansky, U.2
  • 21
    • 0037059731 scopus 로고    scopus 로고
    • On the inverse scattering problem on branching graphs
    • Kurasov, P., Stenberg, F.: On the inverse scattering problem on branching graphs. J. Phys. A 35, 101-121 (2002)
    • (2002) J. Phys. A , vol.35 , pp. 101-121
    • Kurasov, P.1    Stenberg, F.2
  • 22
    • 0347711930 scopus 로고    scopus 로고
    • Value distribution for eigenfunctions of desymmetrized quantum maps
    • Kurlberg, P., Rudnick, Z.: Value distribution for eigenfunctions of desymmetrized quantum maps. Int. Math. Res. Notices 18, 985-1002 (2001)
    • (2001) Int. Math. Res. Notices , vol.18 , pp. 985-1002
    • Kurlberg, P.1    Rudnick, Z.2
  • 23
    • 0032261106 scopus 로고    scopus 로고
    • Spectral form factors of rectangle billiards
    • Marklof, J.: Spectral form factors of rectangle billiards. Commun. Math. Phys. 199, 169-202 (1998)
    • (1998) Commun. Math. Phys. , vol.199 , pp. 169-202
    • Marklof, J.1
  • 24
    • 0035798527 scopus 로고    scopus 로고
    • Classical 1D maps, quantum graphs and ensembles of unitary matrices
    • Pakoński, P., Życzkowski, K., Kuś, M.: Classical 1D maps, quantum graphs and ensembles of unitary matrices. J. Phys. A 34, 9303-9319 (2001)
    • (2001) J. Phys. A , vol.34 , pp. 9303-9319
    • Pakoński, P.1    Zyczkowski, K.2    Kuś, M.3
  • 25
    • 0001469675 scopus 로고    scopus 로고
    • Persistent currents on networks
    • Pascaud, M., Montambaux, G.: Persistent currents on networks. Phys. Rev. Lett. 82, 4512-4515 (1999)
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4512-4515
    • Pascaud, M.1    Montambaux, G.2
  • 27
    • 0346688180 scopus 로고    scopus 로고
    • Periodic-orbit theory of Anderson localisation on graphs
    • Schanz, H., Smilansky, U.: Periodic-orbit theory of Anderson localisation on graphs. Phys. Rev. Lett. 84, 1472-1430 (2000)
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1472-1430
    • Schanz, H.1    Smilansky, U.2
  • 28
    • 0000881975 scopus 로고
    • Wave chaos in singular quantum billiard
    • Šeba, P.: Wave chaos in singular quantum billiard. Phys. Rev. Lett. 64, 1855-1858 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1855-1858
    • Šeba, P.1
  • 29
    • 0039966325 scopus 로고
    • Wave chaos in quantum systems with point interaction
    • Šeba, P., Albeverio, S.: Wave chaos in quantum systems with point interaction. J. Stat. Phys 64, 369-383 (1991)
    • (1991) J. Stat. Phys , vol.64 , pp. 369-383
    • Šeba, P.1    Albeverio, S.2
  • 30
    • 0035914277 scopus 로고    scopus 로고
    • Unitary stochastic matrix ensembles and spectral statistics
    • Tanner, G.: Unitary stochastic matrix ensembles and spectral statistics. J. Phys. A 34, 8485-8500 (2001)
    • (2001) J. Phys. A , vol.34 , pp. 8485-8500
    • Tanner, G.1
  • 31
    • 0037960194 scopus 로고
    • Über die Gleichverteilung von Zahlen mod
    • Weyl, H.: Über die Gleichverteilung von Zahlen mod. Eins. Math. Ann. 77, 313-352 (1916)
    • (1916) Eins. Math. Ann. , vol.77 , pp. 313-352
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.