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Timeline for When to use phase factors?

Current License: CC BY-SA 4.0

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Jul 25, 2022 at 17:26 comment added go_science @explodingkitten500 Not sure if I understand the question correctly, but $\alpha$ and $\phi$ will be determined by the eigenvalue problem, so after the computation there is no "choice" to make. If the Eigenvalues are non degenerate, then this Ansatz gives you (up to a sign) one solution.
Jul 25, 2022 at 16:16 comment added explodingkitten500 When calculating eigenvectors do we then always leave it in the form \begin{matrix}\cos\alpha\\e^{i\phi}\sin\alpha\end{matrix} as this allows a relative phase between the two vector components?
Jul 25, 2022 at 15:18 history answered go_science CC BY-SA 4.0