Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform

被引:156
作者
Chen, NX [1 ]
Chen, ZD [1 ]
Wei, YC [1 ]
机构
[1] CHINA CTR ADV SCI & TECHNOL, WORLD LAB, BEIJING 100080, PEOPLES R CHINA
关键词
D O I
10.1103/PhysRevE.55.R5
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The present work develops a unified and concise solution for inverse lattice problems. Also, a uniformly sampled arithmetic Fourier transform is presented in this work which uses Ramanujan's sum rule.
引用
收藏
页码:R5 / R8
页数:4
相关论文
共 25 条
[1]  
Apostol T., 1998, Introduction to Analytic Number Theory
[2]   ABINITIO PAIR POTENTIAL APPLIED TO METALS [J].
CARLSSON, AE ;
GELATT, CD ;
EHRENREICH, H .
PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 1980, 41 (02) :241-250
[3]   MODIFIED MOBIUS INVERSE FORMULA AND ITS APPLICATIONS IN PHYSICS [J].
CHEN, NX .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1193-1195
[4]  
Chen NX, 1996, J PHYS A-MATH GEN, V29, P5591, DOI 10.1088/0305-4470/29/17/029
[5]   PHONON DISPERSIONS AND ELASTIC-CONSTANTS OF NI3AL AND MOBIUS-INVERSION [J].
CHEN, NX ;
LI, M ;
LIU, SJ .
PHYSICS LETTERS A, 1994, 195 (02) :135-143
[6]   THEORETICAL INVESTIGATION ON INVERSION FOR THE PHONON DENSITY OF STATES [J].
CHEN, NX ;
CHEN, Y ;
LI, GY .
PHYSICS LETTERS A, 1990, 149 (7-8) :357-364
[7]  
Hardy G. H., 2008, An Introduction to the Theory of Numbers, V6th
[8]   MODIFIED MOBIUS-INVERSION TRANSFORM AND PHONON-DISPERSION RELATIONS FOR COPPER [J].
LI, M ;
LIU, SJ ;
CHEN, NX .
PHYSICS LETTERS A, 1993, 177 (02) :134-138
[9]   MOBIUS-INVERSION TRANSFORM FOR DIAMOND-TYPE MATERIALS AND PHONON DISPERSIONS [J].
LI, M ;
CHEN, NX .
PHYSICAL REVIEW B, 1995, 52 (02) :997-1003
[10]   MODIFIED MOBIUS-INVERSION TRANSFORM AND INTERATOMIC PAIR POTENTIALS IN THE BCC-METALS MO AND CR [J].
LI, M ;
LIU, SJ ;
CHEN, NX ;
TENG, YG ;
ZHANG, WX ;
ZHANG, SZ .
PHYSICS LETTERS A, 1992, 169 (05) :364-370