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Consider the full time-dependent wavefunctions Ψ(x, t) = ψ(x)φ(t). For the case of an infinite square...

Consider the full time-dependent wavefunctions Ψ(x, t) = ψ(x)φ(t). For the case of an infinite
square well in 1D, these were

Ψn(x, t) = Sqrt (2/L) sin(nπx/L) e^(−i(En/h)t

In general, the probability density |Ψn|2 is time-independent. But suppose instead of being ina fixed energy state, we are in a special state Ψmix(x, t) = √12(Ψ1 − iΨ2). What is the time-dependent part of |Ψmix|2?

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