SCHRODINGER AND DIRAC QUANTUM RANDOM-WALKS

被引：2
|
作者：
GUDDER, S
机构：
[1] Department of Mathematics and Computer Science, University of Denver, Denver, 80208, Colorado
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1992年 / 31卷 / 11期
关键词：
D O I：
10.1007/BF00671967
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quantum random walks, whose amplitude evolutions are given by generalizations of discrete versions of Schrodinger and Dirac equations, are constructed. The results are given in three dimensions and it is shown that they cannot be reduced to stochastically independent one-dimensional motions. Properties of these quantum random walks are analyzed and expressions for their characteristic functions and free propagators are derived.
引用
收藏
页码：1973 / 1991
页数：19
相关论文
共 50 条
  • [1] QUANTUM RANDOM-WALKS
    ACCARDI, L
    WATSON, GS
    [J]. LECTURE NOTES IN MATHEMATICS, 1989, 1396 : 73 - 88
  • [2] QUANTUM RANDOM-WALKS
    AHARONOV, Y
    DAVIDOVICH, L
    ZAGURY, N
    [J]. PHYSICAL REVIEW A, 1993, 48 (02): : 1687 - 1690
  • [3] THE APPROACH TO EQUILIBRIUM IN QUANTUM RANDOM-WALKS
    GODOY, S
    BRAUN, E
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1994, 203 (3-4) : 414 - 424
  • [4] RANDOM-WALKS OF A QUANTUM PARTICLE ON A CIRCLE
    FJELDSO, N
    MIDTDAL, J
    RAVNDAL, F
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07): : 1633 - 1647
  • [5] RANDOM-WALKS AND QUANTUM CURRENTS IN NETWORKS
    RINGWOOD, GA
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1981, 22 (01) : 96 - 101
  • [6] SHAPE ASYMMETRY OF RANDOM-WALKS AND NONREVERSAL RANDOM-WALKS
    ZIFFERER, G
    OLAJ, OF
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (01): : 636 - 639
  • [7] QUANTUM RANDOM-WALKS AND TIME-REVERSAL
    MAJID, S
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (25): : 4521 - 4545
  • [8] RANDOM-WALKS IN A RANDOM ENVIRONMENT
    SOLOMON, F
    [J]. ANNALS OF PROBABILITY, 1975, 3 (01): : 1 - 31
  • [9] RANDOM-WALKS ON RANDOM TREES
    MOON, JW
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A34 - &
  • [10] THE ASPHERICITY OF RANDOM-WALKS
    RUDNICK, J
    GASPARI, G
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (04): : L191 - L193
12345