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Hermitian Conjugate of Different Operators

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This question is from the text book 'Quantum Mechanics' second edition by David J. Griffiths.

(See attached file for full problem description)

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Problem 3.5 - The hermitan conjugate (or adjoint) of an operator Qprime...
Problem 3.7 - The Hamiltonian and the initial state for a certain three-level system is given. Find its state at a time t

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Solution Summary

Hermitian conjugate of different operators are derived. The method to determine the state of a three level system at a time 't' is explained given its initial state (at time t=0) and the Hamiltonian matrix.

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