Question: a. Assuming that the Hamiltonian is invariant under time reversal, prove that the wave function for a spinless non-degenerate system at any given instant of

a. Assuming that the Hamiltonian is invariant under time reversal, prove that the wave function for a spinless non-degenerate system at any given instant of time can always be chosen to be real.

b. The wave function for a plane-wave state at t = 0 is given by a complex function e^ip∙x/h. Why does this not violate time-reversal invariance?

for >a b; for a

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