Question 1d of the second practice mini test

Physics Q&A
1

In the answer model for the second practice minitest it says that the ground state energy is E0 = - epsilon + hbarw1/2. I was wondering if it should have been E0 = - epsilone^-1 + hbarw1/2, as - epsilone^-1 is the minimum of the potential and that the vibration energy is added up to this to make the groundstate. In the case that the answer model is correct I do not entirely understand where the -epsilon alone comes from.

Thank you in advance,
Rogier

2

You are right Rogier, the first factor comes indeed from the equilibrium potential energy and it is -\epsilon e^{-1}.

Thank you for pointing it out.