The Dipole Field in An Inhomogeneous Atmosphere
The Dipole Field in An Inhomogeneous Atmosphere
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In our eReader you can find the full English version of the book. Read The Dipole Field in An Inhomogeneous Atmosphere 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 The Dipole Field in An Inhomogeneous Atmosphere
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In other words, t is en eigenvalue and w (r) is an elgenf ijnction of the following ^ *J problem: rind th« values of t for which T(r), the solution of the following differential equation: (3M -^ * P - i^1 (rr) . , dr r •' is regular at r » and satisfies the radiation condition (I5) at infinity, that is, Itm I dCrr) . , 1 .
^ —J — ^ - Ik rr « r->oo' dr ' Pttt (35) P =/ w^ (r)^ 4r J ^ J 1/2 so that w (r)^, i" a noraaliied eigenfunction of (3^); then the residue given tj J Ijy (32) will be shown t...o be equal to -20u (36) w Cb) w (r) P (-C08 ©) eln IT t, 2 pj ... .. . J This resnlt will be obtnined from a consideration of the following two eqijAtlone: d^Crv^) t(t+l) 1 t. (t +1).
_J — J dr^ d^nr, ) ] = dr ■] (iv^ ) =0 .
Here t hee any valiie and Is not an eigenTalne, Mnltiply the first equation by rw, the second by rr subtract and integrate with respect to r from to oo.
We obtain 07) (t-t )(t+t -t-l) /oo J dr = nr^ f? ^^t.^ " "'t, d? ^"t^ 00 Notice the term at «ero drops out because by ceflnition ▼.
What to read after The Dipole Field in An Inhomogeneous Atmosphere?
You can find similar books in the "Read Also" column, or choose other free books by Bernard Friedman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In other words, t is en eigenvalue and w (r) is an elgenf ijnction of the following ^ *J problem: rind th« values of t for which T(r), the solution of the following differential equation: (3M -^ * P - i^1 (rr) . , dr r •' is regular at r » and satisfies the radiation condition (I5) at infinity, that is, Itm I dCrr) . , 1 .
^ —J — ^ - Ik rr « r->oo' dr ' Pttt (35) P =/ w^ (r)^ 4r J ^ J 1/2 so that w (r)^, i" a noraaliied eigenfunction of (3^); then the residue given tj J Ijy (32) will be shown t...o be equal to -20u (36) w Cb) w (r) P (-C08 ©) eln IT t, 2 pj ... .. . J This resnlt will be obtnined from a consideration of the following two eqijAtlone: d^Crv^) t(t+l) 1 t. (t +1).
_J — J dr^ d^nr, ) ] = dr ■] (iv^ ) =0 .
Here t hee any valiie and Is not an eigenTalne, Mnltiply the first equation by rw, the second by rr subtract and integrate with respect to r from to oo.
We obtain 07) (t-t )(t+t -t-l) /oo J dr = nr^ f? ^^t.^ " "'t, d? ^"t^ 00 Notice the term at «ero drops out because by ceflnition ▼.
What to read after The Dipole Field in An Inhomogeneous Atmosphere?
You can find similar books in the "Read Also" column, or choose other free books by Bernard Friedman to read onlineMoreLess
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