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.
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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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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