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Connectedness & Canonical Transformations

  1. Apr 12, 2005 #1
    This is a question I found no answer from books.

    Is Connectedness and Simply-connectedness preserved by Canonical Transformations?

    If an area in phase space is connected (simply connected), will it still connected (simply connected) in the new phase space of new canonical variables?
  2. jcsd
  3. Apr 12, 2005 #2
    Isn't a canonical transformation continuous?
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