Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah
著者
書誌事項
Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah
(Contemporary mathematics, 415)
American Mathematical Society, c2006
- タイトル別名
-
Quantum graphs
大学図書館所蔵 全40件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physics. The reader can find a broad overview of the theory of quantum graphs. The articles present methods coming from different areas of mathematics: number theory, combinatorics, mathematical physics, differential equations, spectral theory, global analysis, and theory of fractals. They also address various important applications, such as Anderson localization, electrical networks, quantum chaos, mesoscopic physics, superconductivity, optics, and biological modeling.
目次
Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs by M. Aizenman, R. Sims, and S. Warzel Metrized graphs, Laplacian operators, and electrical networks by M. Baker and X. Faber Form factor expansion for large graphs: A diagrammatic approach by G. Berkolaiko The spectral form factor for quantum graphs with spin-orbit coupling by J. Bolte and J. Harrison Linear network models related to blood flow by R. Carlson Localization on Avron-Exner-last graphs: I. Local perturbations by K. Chen, S. Molchanov, and B. Vainberg Weighted Laplacians and the sigma function of a graph by F. Chung and R. M. Richardson Approximations of permutation-symmetric vertex couplings in quantum graphs by P. Exner and O. Turek Resistance of random Sierpinski gaskets by D. Fontaine, T. Smith, and A. Teplyaev Small diffusion asymptotics for exit problems on graphs by M. Freidlin and M. Weber Determinant of the Schrodinger operator on a metric graph by L. Friedlander Local spectral density and vacuum energy near a quantum graph vertex by S. A. Fulling What are zeta functions of graphs and what are they good for? by M. D. Horton, H. M. Stark, and A. A. Terras Fluctuation statistics for quantum star graphs by J. P. Keating Laplacians on metric graphs: Eigenvalues, resolvents and semigroups by V. Kostrykin and R. Schrader Transition from a network of thin fibers to the quantum graph: An explicitly solvable model by S. Molchanov and B. Vainberg On the limiting absorption principle and spectra of quantum graphs by B.-S. Ong Quantum mechanics, superconductivity and fluid flow in narrow networks by J. Rubinstein A relation between the bond scattering matrix and the spectral counting function for quantum graphs by H. Schanz The quantum graph as a limit of a network of physical wires by U. Smilansky and M. Solomyak On the trace formula for quantum star graphs by B. Winn.
「Nielsen BookData」 より