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I need just ONE analytic solution to the time-dependent Schrodinger Equation.

  1. Nov 8, 2011 #1
    I have been trying to find an analytic solution to the time-dependent Schrodinger Equation. I plan to make a movie of the probability function as it changes over time, but I can't seem to find any analytic solution for the wave function.

    Is it possible to solve the time-dependent Schrodinger Equation without approximation, or should I stop looking?

    If it would be helpful, I can show what methods I have tried so far.
  2. jcsd
  3. Nov 8, 2011 #2


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    Science Advisor

    There are analytic solutions for either a free particle or for a harmonic oscillator with a wave function of the form exp[-a(t)x^2 - b(t)x], where a(t) and b(t) are particular complex functions of time.
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