0
$\begingroup$

Has anyone come across any physical applications of a linear theory where Hamiltonians are proportional to an arbitrary order of momentum? This paper

https://michaelberryphysics.files.wordpress.com/2013/07/berry147.pdf

details the free particle eigenvalue for a Hamiltonian that depends quartically on the momentum, but I couldn't find much more.

$\endgroup$
  • $\begingroup$ Linear theory ?? The whole Hamiltonian proportional to a power of momentum? What would you have in mind? Typically Kerr oscillators, nonlinear optics, etc. run on piers of creation and annihilation operators, and so do studies of chaos. But fro the plain vanilla theories of your type, only magnetism. $\endgroup$ – Cosmas Zachos Jan 6 at 1:26

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.