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542-problem-3 - (b Derive the same result again this time...

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Chem. 542 Assignment by Nancy Makri PROBLEM 3 (a) For a time-independent Hamiltonian ˆ H , show that energy is conserved during time evolution. (Hint: write the expectation value of the Hamiltonian at a time t and use the time evolution operator to express the time-dependent state in terms of the initial state in the bra and the ket.)
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Unformatted text preview: (b) Derive the same result again, this time starting from Heisenberg’s equation of motion for the expectation value of the Hamiltonian. ....
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