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The term resolvent refers to some operator. Yet, in the phrase "The resolvent (or solving kernel) is then given by ...." it is completely unclear which operator's resolvent is meant, at least to the common reader. Would be great if anyone could insert the information.
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This notation is common in contemporary physics and makes some of the equations' interpretations clearer. I'll do this eventually if no one beats me to it.
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Should the third equation start with \phi_n rather than \phi? Otherwise there's a subscript n on the right side of the equation but not the left.
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Good catch! I went back to my source to double check, and I did indeed omit a subscript n there. Thanks for spotting the error.
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In the last equation but one, should K_{n+1} be K_n? Also there should be definition K_0(x,z)=\delta(x-z)?
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Knowledge. If you would like to participate, please visit the project page, where you can join
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532:{\displaystyle {\hat {K}}^{0}\phi ={\hat {I}}\phi =\int dz\delta (x-z)\phi (z)=\phi .}
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I think the page would benefit from a parallel description in operator notation with
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424:{\displaystyle {\hat {K}}^{n}\phi =\int dzK(x,z)(({\hat {K}}^{n-1}\phi )(z))}
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306:{\displaystyle \int dzK(x,z)}
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262:{\displaystyle {\hat {K}}}
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