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Do you have examples of Lagrangians/Hamiltonians used in physics with non-quadratic kinetic terms? e.g. $\dot{x}^4$ What is the origin and the interpretation of such terms?

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closed as too broad by Aaron Stevens, GiorgioP, Qmechanic Apr 16 at 8:10

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    $\begingroup$ I feel like this has been asked before, but searching for it is coming up empty. $\endgroup$ – Kyle Kanos Apr 16 at 0:36
  • $\begingroup$ I did search for duplicates, but without luck. $\endgroup$ – m137 Apr 16 at 5:16
  • $\begingroup$ Check out physics.stackexchange.com/q/50075/2451 $\endgroup$ – Qmechanic Apr 16 at 8:14