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Saturday, May 9, 2015

Exploring Quantum Physics - Week 6 Question 10

Question:

Do all states of this new Hamiltonian that have the same energy also have the same parity?

Solution:

No, it is possible to have $ |1\rangle|1\rangle|2\rangle $ to have energy $ 6\hbar\omega $ and $ |1\rangle|3\rangle|1\rangle $ to have energy $ 6\hbar\omega $. But they have different parity. The former is even and the latter is odd.

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