According to the correspondence principle of quantum mechanics, the same results as in classical theory should be obtained when taking very large quantum numbers. Show that when' n + 0o, the probability of finding a particle trapped in a well of infinite potential between x and x + Ax is Ax / L, which is independent of x; this corresponds to the classical probability.

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According to the correspondence principle of quantum mechanics, the same results as
in classical theory should be obtained when taking very large quantum numbers. Show
that when' n o, the probability of finding a particle trapped in a well of infinite
potential between x and x + Ax is Ax / L, which is independent of x; this corresponds to
the classical probability.
Transcribed Image Text:According to the correspondence principle of quantum mechanics, the same results as in classical theory should be obtained when taking very large quantum numbers. Show that when' n o, the probability of finding a particle trapped in a well of infinite potential between x and x + Ax is Ax / L, which is independent of x; this corresponds to the classical probability.
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