Consider the following Hamiltonians whose matrix forms are as follows a) Find the eigenvalues and eigenfunctions of Hˆ1 and Hˆ2. Are they degenerate? b) Find the non-trivial conditions on a, b and c for Hˆ1 to be Hermitian and Hˆ2 to be Hermitian?

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A: See proof below

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A: Please see the proof below.