On the van Hove weak-coupling limit for impurity scattering of a quantum particle on a lattice

被引:0
|
作者
Maes, C
Spitzer, W
机构
[1] Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, B-3001 Leuven
[2] Vienna, A-1090
来源
关键词
D O I
10.1088/0305-4470/29/10/031
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the problem of quantum impurity scattering for a particle on a lattice via a non-perturbative approach. We calculate the weak-coupling limit in the case of a directed lattice (tree) and we show what problems arise in the more general case due to recurrence effects. Our methods relate the problem to that of a random walk in a random environment.
引用
收藏
页码:2553 / 2565
页数:13
相关论文
共 50 条
  • [1] THE WEAK-COUPLING LIMIT AS A QUANTUM FUNCTIONAL CENTRAL LIMIT
    ACCARDI, L
    FRIGERIO, A
    LU, YG
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 131 (03) : 537 - 570
  • [2] QUANTUM LANGEVIN EQUATION IN THE WEAK-COUPLING LIMIT
    ACCARDI, L
    FRIGERIO, A
    LU, YG
    [J]. LECTURE NOTES IN MATHEMATICS, 1990, 1442 : 1 - 16
  • [3] Breakdown of the Weak-Coupling Limit in Quantum Annealing
    Bando, Yuki
    Yip, Ka-Wa
    Chen, Huo
    Lidar, Daniel A.
    Nishimori, Hidetoshi
    [J]. PHYSICAL REVIEW APPLIED, 2022, 17 (05)
  • [4] Decoherence of quantum registers in the weak-coupling limit
    Wang, J
    Ruda, HE
    Qiao, B
    [J]. PHYSICS LETTERS A, 2002, 294 (01) : 6 - 12
  • [5] The weak-coupling limit of simplicial quantum gravity
    Thorleifsson, G
    Bialas, P
    Petersson, B
    [J]. NUCLEAR PHYSICS B, 1999, 550 (1-2) : 465 - 491
  • [6] WEAK-COUPLING LIMIT FOR SCATTERING BY STRONGLY SINGULAR POTENTIALS
    TIKTOPOULOS, G
    TREIMAN, SB
    [J]. PHYSICAL REVIEW B, 1964, 134 (4B): : B844 - &
  • [7] THE WEAK-COUPLING LIMIT FOR FERMIONS
    ACCARDI, L
    FRIGERIO, A
    LU, YG
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (06) : 1567 - 1581
  • [8] Weak-coupling phases of the attractive t-t′ Hubbard model at the Van Hove filling
    Alvarez, JV
    González, J
    [J]. EUROPHYSICS LETTERS, 1998, 44 (05): : 641 - 647
  • [9] Completely positive Markovian quantum dynamics in the weak-coupling limit
    Taj, David
    Rossi, Fausto
    [J]. PHYSICAL REVIEW A, 2008, 78 (05):
  • [10] Fermi gas on a lattice in the van Hove limit
    T. G. Ho
    L. J. Landau
    [J]. Journal of Statistical Physics, 1997, 87 : 821 - 845