Pauli Lectures: Optics, error(s)?
If someone has Pauli's Lectures on Optics and the Theory of Electrons, could
you please have a look at the two expressions for the variation of S and
let me know if you see anything wrong with them. The second one seems
especially wrong to me. It is supposed to be an integration by parts, but
looks to be nothing more than an integral of the first term minus the
derivative of the third term which amounts to the integral of the first
term alone.
The first form of the variation of S also looks questionable, but I might be
able to give it a reasonable interpretation if I allow for some unstated
assumptions.
--
http://www.vho.org/GB/c/DC/gcgvcole.html
http://www.vho.org/GB/Books/dth/
http://www.germarrudolf.com/
http://www.ice.gov/pi/news/newsreleases/articles/051115chicago.htm
.
Relevant Pages
- Re: A question on Diracs GR book
... The claim that the variation goes away *only* works ... Yes, I will commit to this, even if you think Dirac said it. ... reduces to a surface integration. ... generalization of the Gauss and Stokes theorems, ...
(sci.physics.relativity) - Re: Integration by Parts of the Maxwell QED Action
... irrespective of whether it's classical or quantum; ... Integration by parts then yields for this term: ... be 0 on the boundary dU, then the variation delta) will be 0. ... boundary terms are different, their symplectic structures are ...
(sci.physics.research) - Re: A question on Diracs GR book
... how does this fit with what Dirac is saying? ... meant to say that the variation of that integral is zero, ... The integral in question _is_ the variation, ... Abandon "integration by parts", it is confusing you. ...
(sci.physics.relativity) - Re: A question on Diracs GR book
... I looked at Wikipedia's page for "integration by parts", and near the end of a very long page, they give the generalized version of the integration by parts relation. ... Dirac seems to be applying this to the special case where one of the variables, ... integrates to zero over an arbitrary volume V, although he MAY have meant to say that the variation of that integral is zero, for variations of gwhich are constrained to be zero on the bounding surface S of that volume. ... So that relation says that the variation of EACH component of the vector"a", when differentiated by ANY of the four coordinates, is zero if the variation of the surface integral of "a" is zero. ...
(sci.physics.relativity) - Re: cathedral windows variations
... > Haven't done the variation. ... > Sometimes I will do each step until I have the finished blocks in front of ... > or mark a ziploc bag with the number (I didn't have either one at the time ... >> A large number of electrons were ...
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