1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Mathematical transformations and physics

  1. Jan 10, 2012 #1
    In relation to thermodynamics or statistical mechanics, it is often briefly mentioned that the partition function is the Laplace transform of the microcanonical [itex]\Omega[/itex], or that the Helmholtz free energy is the Legendre transformation of entropy, etc. But in the courses I've had, it stayed to simply noting these facts.

    I was just wondering, is there a deeper reason for these appearances of transformations in these contexts? More specifically: is there a more mathematical book on statistical mechanics that actually gives these matters sufficient attention (and their reason should then be that it leads to elegant physics, not just for the math of it, if you understand what I mean).
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Mathematical transformations and physics
Loading...