Problem about measurement and probability of energy

AI Thread Summary
The discussion centers on a homework problem related to measuring energy and probability in quantum mechanics. The user successfully solved part (a) using properties of even and odd functions but is struggling with part (b). They express confusion over the concept of 'total energy of the system' and its distinction from expectation value. The user seeks clarification on how to determine total energy and its associated probabilities. The conversation highlights the importance of understanding eigenstates of the Hamiltonian in relation to energy measurements.
BREAD
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Homework Statement


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Homework Equations



I solve the (a) , using even,odd function. So, C=1/a

The Attempt at a Solution



I don't know how to approach (b).
I think that 'total energy of the system' doesn't mean expectation value, how can i get
total energy and probability of them?
 
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BREAD said:
I don't know how to approach (b).
I think that 'total energy of the system' doesn't mean expectation value, how can i get
total energy and probability of them?
If you measure the energy, the system can only be found in one of the eigenstates of the Hamiltonian.
 
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