Question: Consider a one-dimensional simple harmonic oscillator. a. Using evaluate , . 2 | n), and 2 | n>. b. Check that the virial theorem holds

Consider a one-dimensional simple harmonic oscillator.

a. Using evaluate , . 2 | n), and 2 | n>.

$a )\ a*|n) / Vnin-1) IVn+1n+1). ip (x)- a mw 2h mw$

b. Check that the virial theorem holds for (he expectation values of the kinetic and the potential energy taken with respect to an energy eigenstates.

a )\ a*|n) / Vnin-1) IVn+1n+1). ip (x)- a mw 2h mw

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