Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about conditions for conservative field

  1. May 26, 2015 #1

    kelvin490

    User Avatar
    Gold Member

    Question about conditions for conservative field
    In common textbooks' discussions about conservative vector field. There is always two assumptions about the region concerned, namely the region is simply connected and open.

    Usually in textbooks there is not much explanations on why these assumptions are necessary, no proof is given on why conservative field is not possible if the region is not simply connected or not open.

    I wonder whether these two assumptions are just for computational convenience or it is really logically not possible to have a conservative field in region that is not simply connected or is not open?
     
  2. jcsd
  3. May 26, 2015 #2

    PeroK

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

  4. May 26, 2015 #3

    Ssnow

    User Avatar
    Gold Member

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Question about conditions for conservative field
Loading...