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What kind of differential equation is the Schrodinger equation?

  1. Oct 19, 2012 #1
    Does it have an easy classification (elliptic, hyperbolic, parabolic, for example)? Or does the fact that it has an "i" in it make this impossible?
  2. jcsd
  3. Oct 19, 2012 #2


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    At least for time-independent potentials, the Schrodinger equation is formally equivalent to a diffusion equation (parabolic) via analytic continuation to imaginary times, so in that sense one could call it parabolic, but I'm not sure if Mathematicians have a reserved term to account for the fact that the solutions are complex numbers.
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