(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An ion in a harmonic ion trap sees a potential which is effectively that of a simple harmonic

oscillator. It has a natural oscillation frequency given by v = 1 MHz. Ignoring any internal

excitations, it is known to be in a superposition of the n = 0, 1 and 2 SHO energy states.

A measurement is then made and it is found to be in the n = 2 level.

a)What is the energy of the ion after the measurement has been made?

3. The attempt at a solution

Why is the answer E_n = (2n+1)/2 [tex]\hbar\omega[/tex]

I do not understand the (2n+1) / 2

Thanks!

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# Simple harmonic oscillators-Quantum mechanics

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