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Fund Quantum Mechanics Lect &amp; HW Solutions 23

# Fund Quantum Mechanics Lect &amp; HW Solutions 23 -...

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Chapter 2 Mathematical Prerequisites 2.1 Complex Numbers 2.1.1 Solution mathcplx-a Question: Multiply out (2 + 3i) 2 and then fnd its real and imaginary part. Answer: Multiplying out the square gives 2 2 + 12i + (3i) 2 . Since i 2 = 1, you get 5 + 12i. This means that the real part is 5 and the imaginary part 12. 2.1.2 Solution mathcplx-b
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Unformatted text preview: Question: Show more directly that 1 / i = − i. Answer: The probably most straightForward way is to take i to the other side, 1 = − i 2 , and then note that i 2 = − 1. 2.1.3 Solution mathcplx-c Question: Multiply out (2 + 3i)(2 − 3i) and then fnd its real and imaginary part. 5...
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