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Homework Help: Hamiltonian which is invariant under time reversal question.

  1. Nov 5, 2009 #1


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    1. The problem statement, all variables and given/known data
    Assuming that the Hamiltonian is invariant under time reversal, prove that the wave function for a spinless nondegnerate system at any given instant of time can always be chosen to be real.

    2. Relevant equations
    The Time-Reversal operator: [tex]T^2=-1 \\ T|x>=|x> [/tex]

    3. The attempt at a solution
    where the last line is assured because |x'>=T|x>=|x>, |\psi_0'>=T|psi_0>.
    Is this fine as a proof or not?
  2. jcsd
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