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- W1989968471 abstract "Abstract Robinson's radiation damping sum rule is one of the classic theorems of accelerator physics. Recently Orlov has claimed to find serious flaws in Robinson's proof of his sum rule. In view of the importance of the subject, I have independently examined the derivation of the Robinson radiation damping sum rule. Orlov's criticisms are without merit: I work through Robinson's derivation and demonstrate that Orlov's criticisms violate well-established mathematical theorems and are hence not valid. I also show that Robinson's derivation, and his damping sum rule, is valid in a larger domain than that treated by Robinson himself: Robinson derived his sum rule under the approximation of a small damping rate, but I show that Robinson's sum rule applies to arbitrary damping rates. I also display more concise derivations of the sum rule using matrix differential equations. I also show that Robinson's sum rule is valid in the vicinity of a parametric resonance." @default.
- W1989968471 created "2016-06-24" @default.
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- W1989968471 date "2011-06-01" @default.
- W1989968471 modified "2023-10-18" @default.
- W1989968471 title "Robinson's radiation damping sum rule: Reaffirmation and extension" @default.
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- W1989968471 doi "https://doi.org/10.1016/j.nima.2011.03.037" @default.
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