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Dec 15, 2018 at 11:47 comment added lcv Chandrasekhar derived an expression for the radius of white dwarfs completely ignoring electron interactions.
Oct 7, 2013 at 1:13 comment added Selene Routley @annav I expanded on your answer below, given the misconceptions I have had in the past.
Dec 9, 2012 at 18:07 vote accept Jan M.
Nov 21, 2012 at 19:42 comment added anna v @VladimirKalitvianski well, it is a different view taken now. I do not see how this would work in filling the electron shells though.
Nov 21, 2012 at 18:20 comment added Vladimir Kalitvianski @annav: It is funny, but Dirac represented it as an "exchange interaction", via effective potentials depending on spins. And "exchange" here means exchange with fermions ;-)
Nov 21, 2012 at 0:26 comment added dmckee --- ex-moderator kitten @PatronBernard It is important to notice that in the case of, for instance, degenerate matter in a white dwarf there is an actual force (gravitation) trying to squeeze the electrons ever closer together. It is the tension between that force and the exclusion based limit on the number of low momentum electrons that can be in a particular volume that results in the electrons getting forced into high momentum states. The energy comes from gravity, not from the PEP.
Nov 20, 2012 at 22:40 comment added Jan M. I just have difficulty understanding the apparent link between energy (levels) of the contained particles and the way they exert a force on the "walls" of the container. The whole explanation tells something about particles being forced in higher energy levels, and somehow this results in a higher pressure, but I have trouble seeing that link.
Nov 20, 2012 at 20:43 comment added anna v I was not familiar with the term. It seems from the Wiki article that a potential well can be defined for a constrained volume, then this means that there are discrete energy states that will then be filled sequentially with the effects described en.wikipedia.org/wiki/Degenerate_pressure . This pressure is a collective effect not a one upon one fermion.
Nov 20, 2012 at 20:38 comment added Jan M. But how does this explain degenerate pressure? The name implies that a force is acting. Would it actually mean that adding electrons to a small space would force them (PEP) into higher energy levels because all the ground states are occupied and thus they actually have a higher kinetic energy (and thus also a higher momentum which results in a higher pressure)
Nov 20, 2012 at 20:34 history edited anna v CC BY-SA 3.0
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Nov 20, 2012 at 20:27 history answered anna v CC BY-SA 3.0