BahramH

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Hello, BahramH, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are some pages that you might find helpful:

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Request for edit summary

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TeX issues

Hello. Please note that in TeX, you don't need to write

$Z(\beta )=<\exp(-\beta E)>,\,$

since instead you can write

$Z(\beta )=\langle \exp(-\beta E)\rangle .\,$

Michael Hardy (talk) 11:36, 4 September 2008 (UTC)

Partition function

Hello BahramH. Your new subsection Cumulant#Relation_to_statistical_physics tells a little about the partition function, but not about its relation to cumulant generating function. Bo Jacoby (talk) 21:10, 4 September 2008 (UTC).

Thanks, you're right. I have to add the cumulant expansion of the free energy as a perturbation technique. 9 september 2008.

Hamilton-Jacobi Equation

Thanks for your addition to this page, which I gather comes in part from your recent paper in AmJPhys. Two issues/questions:

1) Your statement "[t]he above duality is very general and applies to all systems that derive from a variational principle" is very broad and far-reaching, and as such needs a reference to support it. Could you please provide one?

2) Here (and also on the specific Wikipedia page on this topic) the action $S$ is referred to as Hamilton's principal function, while the Hamilton's characteristic function (via the abbreviated action) is the term used to describe the solution to the static HJE. In your paper, you refer to this solution as Hamilton's principal function. Could you perhaps clear up this possible conflict? (or correct me if I'm finding a conflict that isn't there?)

cstark (talk) 06:38, 7 May 2020 (UTC)