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Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | |
| In: | Journal of Mathematical Physics, 11, 1970, 1, S. 267-279 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Boffi, V. C. Boffi, V. C. |
|---|---|
| author |
Boffi, V. C. |
| spellingShingle |
Boffi, V. C. Journal of Mathematical Physics Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
boffi, v. c. |
| spelling |
Boffi, V. C. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1665058 <jats:p>In this paper the effects of arbitrarily anisotropic scattering in establishing the eigenvalue spectrum of the operator associated with the stationary monoenergetic neutron transport equation in a medium of infinite extent are investigated through an extensive application of the two-sided Laplace integral theory. How the contribution of the discrete eigenvalues imbedded in the continuous part of the spectrum can explicitly be evaluated when inverting the bilateral Laplace transform of the sought distribution is shown by resorting to the Plemelj formulas, which are in order in the theory of the Cauchy integrals.</jats:p> Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method Journal of Mathematical Physics |
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AIP Publishing, 1970 |
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AIP Publishing, 1970 |
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Journal of Mathematical Physics |
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| title |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_unstemmed |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_full |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_fullStr |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_full_unstemmed |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_short |
Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_sort |
anisotropy of scattering in neutron transport theory by the two-sided laplace integral method |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.1665058 |
| publishDate |
1970 |
| physical |
267-279 |
| description |
<jats:p>In this paper the effects of arbitrarily anisotropic scattering in establishing the eigenvalue spectrum of the operator associated with the stationary monoenergetic neutron transport equation in a medium of infinite extent are investigated through an extensive application of the two-sided Laplace integral theory. How the contribution of the discrete eigenvalues imbedded in the continuous part of the spectrum can explicitly be evaluated when inverting the bilateral Laplace transform of the sought distribution is shown by resorting to the Plemelj formulas, which are in order in the theory of the Cauchy integrals.</jats:p> |
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| description | <jats:p>In this paper the effects of arbitrarily anisotropic scattering in establishing the eigenvalue spectrum of the operator associated with the stationary monoenergetic neutron transport equation in a medium of infinite extent are investigated through an extensive application of the two-sided Laplace integral theory. How the contribution of the discrete eigenvalues imbedded in the continuous part of the spectrum can explicitly be evaluated when inverting the bilateral Laplace transform of the sought distribution is shown by resorting to the Plemelj formulas, which are in order in the theory of the Cauchy integrals.</jats:p> |
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| imprint | AIP Publishing, 1970 |
| imprint_str_mv | AIP Publishing, 1970 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 0022-2488, 1089-7658 |
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| physical | 267-279 |
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| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Boffi, V. C. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1665058 <jats:p>In this paper the effects of arbitrarily anisotropic scattering in establishing the eigenvalue spectrum of the operator associated with the stationary monoenergetic neutron transport equation in a medium of infinite extent are investigated through an extensive application of the two-sided Laplace integral theory. How the contribution of the discrete eigenvalues imbedded in the continuous part of the spectrum can explicitly be evaluated when inverting the bilateral Laplace transform of the sought distribution is shown by resorting to the Plemelj formulas, which are in order in the theory of the Cauchy integrals.</jats:p> Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method Journal of Mathematical Physics |
| spellingShingle | Boffi, V. C., Journal of Mathematical Physics, Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method, Mathematical Physics, Statistical and Nonlinear Physics |
| title | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_full | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_fullStr | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_full_unstemmed | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_short | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| title_sort | anisotropy of scattering in neutron transport theory by the two-sided laplace integral method |
| title_unstemmed | Anisotropy of Scattering in Neutron Transport Theory by the Two-Sided Laplace Integral Method |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.1665058 |