A particle in an itfinite potential box with walls at 0 and xa (ie. the potential is infinite for t 0 and xa and zere in berween) has the following wave function at some initial time: (3xx vix)= sin sin (a) Find the possible results of the measurement of the system's energy and the correspond- ing probabilities (b) Find the fom of the wave function afier such a measurement, (c) If the energy is measured again immediately afterwards, what are the relative probabili- ties of the possible outcomes?
A particle in an itfinite potential box with walls at 0 and xa (ie. the potential is infinite for t 0 and xa and zere in berween) has the following wave function at some initial time: (3xx vix)= sin sin (a) Find the possible results of the measurement of the system's energy and the correspond- ing probabilities (b) Find the fom of the wave function afier such a measurement, (c) If the energy is measured again immediately afterwards, what are the relative probabili- ties of the possible outcomes?
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Transcribed Image Text:A particle in an infinite potential box with walls at 0 and xma (ie, the potential is infinite
fort 0 and Su and zere in berween) has the following wave function at some initial time:
3x
(x)=
sin
(a) Find the possible results of the measurement of the system's energy and the correspond-
ing probubilities.
ib) Find the form of the wave function afier such a measurement.
(c) If'the energy is measured again ummediately afterwards, what are the relative probabili-
ties of the possible outcomes?
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