Wednesday, June 20, 2018

quantum mechanics - Is WKB really applicable for the ground state?


It seems that WKB is applicable for a given $E$ if and only if $\hbar$ is sufficiently small. Or in other words, WKB is applicable if and only if the quantum number is large enough.


Is this understanding right?


I would take the exactness of WKB for the harmonic oscillator as purely accidental.




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