The Exponential and Polynomial Approximations of the Fermi-Dirac Integral

被引：0
|
作者：
Borulko, Valentyn F. [1 ]
机构：
[1] Oles Honchar Dnipro Natl Univ, Dept Phys Elect & Comp Syst, Dnipro, Ukraine
来源：
2019 XXIVTH INTERNATIONAL SEMINAR/WORKSHOP ON DIRECT AND INVERSE PROBLEMS OF ELECTROMAGNETIC AND ACOUSTIC WAVE THEORY (DIPED) | 2019年
关键词：
Fermi-Dirac integral; exponential and polynomial models; Prony method;
D O I：
10.1109/diped.2019.8882573
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The approximations of Fermi-Dirac integral are examined. The exponential and combined exponential-polynomial models are investigated. The modifications of the Prony method are proposed. The errors of the different approaches are compared.
引用
收藏
页码：139 / 142
页数：4
相关论文
共 50 条
  • [41] TEST OF CONVERGENCE OF AN EXPANSION OF FERMI-DIRAC INTEGRAL F-1/2
    CSAVINSZKY, P
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1977, 22 (01): : 117 - 117
  • [42] Fermi-Dirac Statistics Derivation and Consequences
    Chaturvedi, S.
    Biswas, Shyamal
    RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2014, 19 (01): : 45 - 61
  • [43] On the evaluation of Fermi-Dirac integral and its derivatives by IMT and DE quadrature methods
    Mohankumar, N
    Kannan, T
    Kanmani, S
    COMPUTER PHYSICS COMMUNICATIONS, 2005, 168 (02) : 71 - 77
  • [44] APPROXIMATE EVALUATION OF FERMI-DIRAC FUNCTIONS
    OGAWA, Y
    NISHIDA, M
    PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 1973, 25 (02) : 281 - 283
  • [45] EVALUATION OF SOME FERMI-DIRAC INTEGRALS
    WASSERMAN, A
    BUCKHOLTZ, TJ
    DEWITT, HE
    JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (02) : 477 - +
  • [46] ANALYTICAL EXPANSIONS FOR FERMI-DIRAC FUNCTIONS
    BANUELOS, A
    DEPINE, RA
    MANCINI, RC
    JOURNAL OF MATHEMATICAL PHYSICS, 1981, 22 (03) : 452 - 455
  • [47] Fermi-Dirac generators and tests for randomness
    Gordon, Alexander
    Molchanov, Stanislav
    Quinn, Joseph
    Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov, 2007, 42 : 199 - 224
  • [48] A GENERALIZED APPROXIMATION OF THE FERMI-DIRAC INTEGRALS
    AYMERICHHUMET, X
    SERRAMESTRES, F
    MILLAN, J
    JOURNAL OF APPLIED PHYSICS, 1983, 54 (05) : 2850 - 2851
  • [49] FERMI-DIRAC DISTRIBUTIONS FOR QUARK PARTONS
    BOURRELY, C
    BUCCELLA, F
    MIELE, G
    MIGLIORE, G
    SOFFER, J
    TIBULLO, V
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 62 (03): : 431 - 436
  • [50] MAGNETIC MOMENT OF A FERMI-DIRAC GAS
    SAENZ, AW
    OROURKE, RC
    PHYSICAL REVIEW, 1955, 98 (04): : 1166 - 1166
12345