I'm asked to show that in the ground state, a particle trapped in a potential well approximately equal to its lowest allowed energy.(adsbygoogle = window.adsbygoogle || []).push({});

I know the expression for the energy is h^2/8mL^2 for a finite well, and ΔEΔt~h/2π. But I'm at a loss as to how I'm supposed to even begin to start this.

Attempts at a solution: I played around with Heisenberg's uncertainty principle, the energy uncertainty principle, and the Schrodinger equation for minimum allowed energy that I listed above, but didn't really get anywhere meaningful.

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# Uncertainty in Energy an ground state energy

Can you offer guidance or do you also need help?

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