3D INVERSE LATTICE PROBLEMS AND MOBIUS-INVERSION

被引：38
|
作者：
CHEN, NX
CHEN, ZD
SHEN, YN
LIU, SJ
LI, M
机构：
[1] CCAST,WORLD LAB,BEIJING 10080,PEOPLES R CHINA
[2] BEIJING UNIV SCI & TECHNOL,DEPT MATH,BEIJING 100083,PEOPLES R CHINA
来源：
PHYSICS LETTERS A | 1994年 / 184卷 / 4-5期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/0375-9601(94)90459-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A general and exact solution of inverse lattice problems in physics for simple cubic (sc), fcc and binary structures are presented based on a three-dimensional Mobius inversion formula, which is unexpectedly concise and easy. More important, it shows the potential application of the theory of numbers to the physical sciences.
引用
收藏
页码：347 / 351
页数：5
相关论文
共 50 条
  • [41] NUMERICAL-METHOD FOR SOLVING 3D INVERSE PROBLEMS OF GEOPHYSICS
    RAMM, AG
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 136 (02) : 352 - 356
  • [42] Efficient adaptive qualitative methods for 3D inverse scattering problems
    [J]. 2018, Applied Computational Electromagnetics Society (ACES) (33):
  • [43] Efficient Adaptive Qualitative Methods for 3D Inverse Scattering Problems
    Leem, Koung Hee
    Liu, Jun
    Pelekanos, George
    [J]. APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL, 2018, 33 (10): : 1100 - 1105
  • [44] Calculation of 3D eddy current inverse problems in nondestructive testing
    Lei, YZ
    Ma, XS
    [J]. ELECTROMAGNETIC FIELD PROBLEMS AND APPLICATIONS (ICEF '96), 1997, : 254 - 256
  • [45] CARLSSON-GELATT-EHRENREICH TECHNIQUE AND THE MOBIUS-INVERSION THEOREM (PHYS REV, VOL 45, PG 8177, 1992)
    CHEN, NX
    REN, GB
    [J]. PHYSICAL REVIEW B, 1993, 47 (01): : 593 - 593
  • [46] 3D INVERSE SCATTERING
    RAMM, AG
    WEAVER, OL
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 22 (4-5) : 1 - 25
  • [47] 3D inverse scattering
    Ramm, A.G.
    Weaver, O.L.
    [J]. Computers & Mathematics with Applications, 1991, 22 (4-5):
  • [48] Inversion of mapping and inverse problems
    Anikonov, Yu. E.
    Ayupova, N. B.
    Bardakov, V. G.
    Golubyantikov, V. P.
    Neshchadim, M., V
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2012, 9 : 382 - 432
  • [49] A DIRICHLET ANALOGUE OF THE FREE MONOGENIC INVERSE SEMIGROUP VIA MOBIUS INVERSION
    Schwab, Emil Daniel
    Stoianov, George
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (05) : 1701 - 1710
  • [50] Inverse Protein Folding in 3D Hexagonal Prism Lattice under HPC Model
    Khodabakhshi, Alireza Hadj
    Manuch, Jan
    Rafiey, Arash
    Gupta, Arvind
    [J]. JOURNAL OF COMPUTATIONAL BIOLOGY, 2009, 16 (06) : 769 - 802
12345