Connes' Distance Function on One-Dimensional Lattices

被引:0
|
作者
Aristophanes Dimakis
Folkert Muller-Hoissen
机构
关键词
Field Theory; Elementary Particle; Quantum Field Theory; Distance Function;
D O I
暂无
中图分类号
学科分类号
摘要
We show that there is an operator with a simplegeometric significance which yields the ordinarygeometry of an open and closed linear equidistantlattice via Connes' distance function. Some relatedaspects of distances on graphs are brieflydiscussed.
引用
收藏
页码:907 / 913
页数:6
相关论文
共 50 条
  • [1] Connes' distance function on one-dimensional lattices
    Dimakis, A
    Muller-Hoissen, F
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (03) : 907 - 913
  • [2] Connes' distance of one-dimensional lattices: General cases
    Dai, J
    Song, XC
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2001, 36 (05) : 519 - 522
  • [3] One-dimensional Kondo lattices
    Shibata, N
    [J]. DENSITY-MATRIX RENORMALIZATION: A NEW NUMERICAL METHOD IN PHYSICS, 1999, 528 : 303 - 310
  • [4] Phason dynamics in one-dimensional lattices
    Lipp, Hansjoerg
    Engel, Michael
    Sonntag, Steffen
    Trebin, Hans-Rainer
    [J]. PHYSICAL REVIEW B, 2010, 81 (06)
  • [5] CONDITIONAL PERCOLATION ON ONE-DIMENSIONAL LATTICES
    Axelson-Fisk, Marina
    Haggstrom, Olle
    [J]. ADVANCES IN APPLIED PROBABILITY, 2009, 41 (04) : 1102 - 1122
  • [6] Thermodynamics of one-dimensional nonlinear lattices
    V. N. Likhachev
    T. Yu. Astakhova
    G. A. Vinogradov
    [J]. Russian Journal of Physical Chemistry B, 2009, 3 : 517 - 528
  • [7] Thermodynamics of one-dimensional nonlinear lattices
    Likhachev, V. N.
    Astakhova, T. Yu.
    Vinogradov, G. A.
    [J]. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B, 2009, 3 (04) : 517 - 528
  • [8] ONE-DIMENSIONAL AND TWO-DIMENSIONAL DECORATED LATTICES
    GONCALVES, LL
    [J]. PHYSICA A, 1982, 110 (1-2): : 339 - 345
  • [9] Unsolvable one-dimensional lifting problems for congruence lattices of lattices
    Tuma, J
    Wehrung, F
    [J]. FORUM MATHEMATICUM, 2002, 14 (04) : 483 - 493
  • [10] COMMENSURABILITY IN ONE-DIMENSIONAL LATTICES AT FINITE TEMPERATURE
    SACCO, JE
    WIDOM, A
    SOKOLOFF, JB
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (05) : 497 - 516