Wang Jin-ru. A Mathematical Representation of Dirac δ Function[J]. Applied Mathematics and Mechanics, 1981, 2(3): 333-338.
Citation: Wang Jin-ru. A Mathematical Representation of Dirac δ Function[J]. Applied Mathematics and Mechanics, 1981, 2(3): 333-338.

A Mathematical Representation of Dirac δ Function

  • Received Date: 1980-04-01
  • Publish Date: 1981-06-15
  • Dirac's definition of a δ function δ(x)in the real number system R is the idealization of a function satisfying the following conditions These conditions in standard analysis are inconsistent since the integral of any function which has a value of zero with the exception of that which at one point.
  • loading
  • [1]
    Dirac,P,A.M.,The Principles of Quantum Mechanics,Oxford Clareadou Press,3th ed,(1947).
    [2]
    Robinson,A,Nonstandard }Inalysis,North-Holland Amsterdam,(1966)
    [3]
    Kelemen,P,J.and Robinson,A.,The Nonstandard λ:φ24: Model I.The technique of nonstandard analysis in theoretical physics,J.Math,Phys,13,12,Dec,(1972).
    [4]
    Lightstone,A.H,and Robinsoa,A Nonarchimedean Fields and Asymptotic Eapansions,North-Hollaad,(1975).
    [5]
    Lightstoae A,H.and Kam Woag,Dirac Delta Functioas via Noastaadard Analysis,Caned.Math.Bull.81,5(1975)759-762.Zbl.329.26020.
    [6]
    Yan Osdol and Donovan,H,Truth with respect to an ultrafilter or how to make intuitioa rigorous,Amer,Math,Monthly 79,(1972)355-363.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2048) PDF downloads(565) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return