Quantum/Classical Correspondence for the Harmonic Oscillator

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The red regions show the probability density for a quantum harmonic oscillator with quantum number ; the blue curve shows the analogous classical probability distribution. Note that they approach one another as becomes large, in accord with Bohr's correspondence principle.

Contributed by: Niels Walet (March 2011)
Open content licensed under CC BY-NC-SA


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This is a standard calculation that can be found in most quantum mechanics textbooks; for example, the Manchester University OER course.



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