1. Jan 3, 2015 #1

   MathematicalPhysicist

   

   Gold Member

   I am looking for a proof of the next theorem:
   
   "If the higher order time derivative Lagrangian is non-degenerate, there is at least one linear instability in the Hamiltonian of this system."
   
   Where Non-degeneracy means that the highest time derivative term can be expressed in terms of canonical variables.
   
   P.S
   I prefer a reference, as in a book or article.

    

   MathematicalPhysicist, Jan 3, 2015
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3. Jan 5, 2015 #2

   vanhees71

   

   Science Advisor

   Insights Author

   2016 Award

   Where did you get the theorem from? I've never heard of it.

    

   vanhees71, Jan 5, 2015
4. Jan 5, 2015 #3

   MathematicalPhysicist

   

   Gold Member

   Here:
   http://arxiv.org/pdf/1209.0583v4.pdf
   
   The first pages.

    

   MathematicalPhysicist, Jan 5, 2015

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