Dirac delta distribution
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8 matching pages ♦
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8 matching pages
1: 1.16 Distributions
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§1.16(iii) Dirac Delta Distribution
… ►The Dirac delta distribution is singular. … ►
1.16.15
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1.16.39
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1.16.45
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2: 2.6 Distributional Methods
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►The Dirac delta distribution in (2.6.17) is given by
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2.6.19
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2.6.38
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2.6.41
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2.6.42
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3: 1.17 Integral and Series Representations of the Dirac Delta
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►In applications in physics, engineering, and applied mathematics, (see Friedman (1990)), the Dirac delta distribution (§1.16(iii)) is historically and customarily replaced by the Dirac delta (or Dirac delta function) .
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►Equations (1.17.12_1) through (1.17.16) may re-interpreted as spectral representations of completeness relations, expressed in terms of Dirac delta distributions, as discussed in §1.18(v), and §1.18(vi) Further mathematical underpinnings are referenced in §1.17(iv).
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4: 1.4 Calculus of One Variable
5: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
6: 14.30 Spherical and Spheroidal Harmonics
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14.30.8
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Distributional Completeness
►For a series representation of the product of two Dirac deltas in terms of products of spherical harmonics see §1.17(iii). …7: 20.13 Physical Applications
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►is also a solution of (20.13.2), and it approaches a Dirac delta (§1.17) at .
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►In the singular limit , the functions , , become integral kernels of Feynman path integrals (distribution-valued Green’s functions); see Schulman (1981, pp. 194–195).
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8: Bibliography L
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Algorithm 344: Student’s t-distribution [S14].
Comm. ACM 12 (1), pp. 37–38.
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Integral and series representations of the Dirac delta function.
Commun. Pure Appl. Anal. 7 (2), pp. 229–247.
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Sur la distribution des nombres premiers.
Comptes Rendus de l’Academie des Sciences, Paris 158, pp. 1869–1872 (French).
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