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Question: Hermitian / Unitary Matrices

Question:Hermitian / Unitary Matrices

dcasimir 1212
October 20 2007
0
Two matrices U and H are related by U = exp(i*a*H), where I assume a is a real constant, and i denotes the square root of -1. (a): If H is Hermitian, show that U is unitary. (b): If U is unitary, show that H is Hermitian. (H is independent of a.) Any advice or hints greatly appreciated, v/r, This is from the title "Mathematical Methods for Physicists" by Arfken and Weber. 6th ed. (section 3.4)
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