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<DIV>Yuri,</DIV>
<DIV> </DIV>
<DIV>Thanks, but what in your paper addresses any “heated discussion” about
“cooling”?</DIV>
<DIV> </DIV>
<DIV>It’s not really controversial the Hamiltonian dynamics of charged particles
in electromagnetic fields involves canonical momenta rather than simply
mechanical momentum.</DIV>
<DIV> </DIV>
<DIV>What is possibly controversial is whether one needs to compute the
eigenemittances separately (based on canonical momenta, of course), compared to
summarizing the results in terms of more familiar 4d and 6d emittances that are
square roots of the products of eigenemittances.</DIV>
<DIV> </DIV>
<DIV>If your paper sheds light on this issue, please point to where this is
done.</DIV>
<DIV> </DIV>
<DIV>Didn’t you consider only an example in which epsilon1 ~ epsilon2, so there
is little/no loss of information in considering only sqrt(epsilon1
epsilon2). Or, do you argue that the slight difference between epsilon1
and epsilon2 in fig. 7 teaches us something that we would be missing by only
considering sqrt(epsilon1 epsilon2)? If so, what?</DIV>
<DIV> </DIV>
<DIV>--Kirk</DIV>
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<DIV style="font-color: black"><B>From:</B> <A title=alexahin@fnal.gov
href="mailto:alexahin@fnal.gov">Yuri I Alexahin</A> </DIV>
<DIV><B>Sent:</B> Friday, February 22, 2013 8:18 PM</DIV>
<DIV><B>To:</B> <A title=MAP-l@lists.bnl.gov
href="mailto:MAP-l@lists.bnl.gov">MAP-l@lists.bnl.gov</A> </DIV>
<DIV><B>Subject:</B> [MAP] paper on eigen-emittances</DIV></DIV></DIV>
<DIV> </DIV></DIV>
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<DIV
style="FONT-FAMILY: tahoma; DIRECTION: ltr; COLOR: #000000; FONT-SIZE: 10pt">Hi,<BR>I
submitted the promised paper on eigen-emittances as MAP-doc-4358<BR>Among others
it considers topics which aroused heated discussions in the recent
past.<BR>Yuri<BR></DIV>
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