A Hartree Self Consistent Method for the Scattering of Positrons By Hydrogen Ato
A Hartree Self Consistent Method for the Scattering of Positrons By Hydrogen Ato
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In our eReader you can find the full English version of the book. Read A Hartree Self Consistent Method for the Scattering of Positrons By Hydrogen Ato Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Hartree Self Consistent Method for the Scattering of Positrons By Hydrogen Ato
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It should be noted that our argument for the unimportance of y hinged on the fact that the leading term of the Inhomogenelty G in (2-51) O O J_j was cancelled at large distances by -~F:G^. If this had not ° ■' 2 o ' L r - 32 been the case, y would have had the asymptotic form Li and the Inhomogeneity In the equation defining G vould have been of o the form G^ /r . Of course^ If the cancellation did not taice place, the atom vould have a net charge and the effects of the spherical corre- lation ...might be svemped by the Coulombic term.
The arguments vhich vere presented here hinged largely on the form of V. At sniall distances and on the form of y. At large distances. If these arguments are valid, they supply some justification to our choice of W ■^ . (r, r-) in 2-15). Thus, the exact W, „ is given by \^2 ^ ^ 12 (5-^5) W^^ = X] ^^, G(L, ^^, ^2. N|r2).
1 2 In general, u . Behaves near the origin as "" 1 V^ -^ Vi^ • So that for small r, W \, > r^ 1 2 e^G(L, t^, l2. N|r2) 1 2 r^ — > o n and If this is the only region of importance vhere the form of W, , V2 is concerned, ve are then Justified in assuming \^2 ^1 ^ ^2 ^ 55 - IV The Adiabatlc Approximation :n W Temkin ^ -I obtains the adlabatic approximation by assuming that the atom is in a static field whose source is the incident particle.
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To quickly assess the difficulty of the text, read a short excerpt:
It should be noted that our argument for the unimportance of y hinged on the fact that the leading term of the Inhomogenelty G in (2-51) O O J_j was cancelled at large distances by -~F:G^. If this had not ° ■' 2 o ' L r - 32 been the case, y would have had the asymptotic form Li and the Inhomogeneity In the equation defining G vould have been of o the form G^ /r . Of course^ If the cancellation did not taice place, the atom vould have a net charge and the effects of the spherical corre- lation ...might be svemped by the Coulombic term.
The arguments vhich vere presented here hinged largely on the form of V. At sniall distances and on the form of y. At large distances. If these arguments are valid, they supply some justification to our choice of W ■^ . (r, r-) in 2-15). Thus, the exact W, „ is given by \^2 ^ ^ 12 (5-^5) W^^ = X] ^^, G(L, ^^, ^2. N|r2).
1 2 In general, u . Behaves near the origin as "" 1 V^ -^ Vi^ • So that for small r, W \, > r^ 1 2 e^G(L, t^, l2. N|r2) 1 2 r^ — > o n and If this is the only region of importance vhere the form of W, , V2 is concerned, ve are then Justified in assuming \^2 ^1 ^ ^2 ^ 55 - IV The Adiabatlc Approximation :n W Temkin ^ -I obtains the adlabatic approximation by assuming that the atom is in a static field whose source is the incident particle.
What to read after A Hartree Self Consistent Method for the Scattering of Positrons By Hydrogen Ato?
You can find similar books in the "Read Also" column, or choose other free books by Richard S Ruffine to read onlineMoreLess
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