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A particle is known to be localized in the left half of a box with sides at x = +/- 1/2.

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A particle is known to be localized in the left half of a box with sides at x = +/- 1/2, with wave function

psi (x) = sqrt(2/a) when -a/2 < x < 0
= 0 when 0 < x < a/2

a) Will the particle remain localized at later times?
b) Calculate the probability that an energy measurement yields the ground state energy; the energy of the first excited state.

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The solution determines if a particle will remain localized at later times. The probability that an energy measurement yields the ground state energy is calculated.

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