24:2 A particle of mass m moves in a one dimensional 'box' defined such that U (2) = { = 0 < x < a elsewhere. t is known to be initially 'localised' in the left half of the box and the normalised wavefunctio representing this localised state is 0 < x < * < x < a. V (x) a Calculate the probability that a measurement of the energy of the particle yields a) the lowest energy eigenvalue of the box; b) the next highest energy eigenvalue.
24:2 A particle of mass m moves in a one dimensional 'box' defined such that U (2) = { = 0 < x < a elsewhere. t is known to be initially 'localised' in the left half of the box and the normalised wavefunctio representing this localised state is 0 < x < * < x < a. V (x) a Calculate the probability that a measurement of the energy of the particle yields a) the lowest energy eigenvalue of the box; b) the next highest energy eigenvalue.
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Transcribed Image Text:Q4:2 A particle of mass m moves in a one dimensional 'box' defined such that
0 < x < a
U (x) = {
elsewhere.
It is known to be initially 'localised' in the left half of the box and the normalised wavefunction
representing this localised state is
ý (1) = { 8
0 < x < §
을 <x<a.
V a
Calculate the probability that a measurement of the energy of the particle yields
(a) the lowest energy eigenvalue of the box;
(b) the next highest energy eigenvalue.
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