Comments on: A wrong argument http://marcofrasca.wordpress.com/2008/11/03/a-wrong-argument/ The curious ways to see the World of a theoretical physicist Fri, 16 Oct 2009 16:23:06 +0000 http://wordpress.com/ hourly 1 By: 76. Chaos in quantum field theory http://marcofrasca.wordpress.com/2008/11/03/a-wrong-argument/#comment-318 76. Chaos in quantum field theory Tue, 04 Nov 2008 09:02:03 +0000 http://marcofrasca.wordpress.com/?p=1140#comment-318 [...] debate got heated up quite a bit in the comments to the last post :-) Marco is explaining on his blog that (citing his [...] [...] debate got heated up quite a bit in the comments to the last post :-) Marco is explaining on his blog that (citing his [...]

]]> By: mfrasca http://marcofrasca.wordpress.com/2008/11/03/a-wrong-argument/#comment-316 mfrasca Mon, 03 Nov 2008 20:02:40 +0000 http://marcofrasca.wordpress.com/?p=1140#comment-316 Carl, Thank you very much for your comment. You are too kind. I just try to do my best and it is not always a success. Best, Marco Carl,

Thank you very much for your comment. You are too kind. I just try to do my best and it is not always a success.

Best,

Marco

]]> By: carlbrannen http://marcofrasca.wordpress.com/2008/11/03/a-wrong-argument/#comment-315 carlbrannen Mon, 03 Nov 2008 18:11:46 +0000 http://marcofrasca.wordpress.com/?p=1140#comment-315 It seems to me that the argument "non linear implies chaotic" is incorrect in that it ignores the fact that what we are really interested in are the ground states. Surely the ground states have less chaos in them than arbitrarily chosen states. And as far as QM goes, what matters is that we be able to choose a set of orthogonal states that span the basis. From that, we can get anywhere. A chaotic state will appear as a linear superposition of the basis states. And so it makes sense to choose a basis that is not chaotic. I'm still busily laying down the effort to understand this. You make a great teacher but need better students, LOL. It seems to me that the argument “non linear implies chaotic” is incorrect in that it ignores the fact that what we are really interested in are the ground states. Surely the ground states have less chaos in them than arbitrarily chosen states.

And as far as QM goes, what matters is that we be able to choose a set of orthogonal states that span the basis. From that, we can get anywhere. A chaotic state will appear as a linear superposition of the basis states. And so it makes sense to choose a basis that is not chaotic.

I’m still busily laying down the effort to understand this. You make a great teacher but need better students, LOL.

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