Question about phase factor in Quantum Mechanics

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SUMMARY

The discussion centers on the equivalence of the complex number -i and the exponential form e^{\frac{-i\pi}{2}} in the context of Quantum Mechanics. The user seeks clarification on whether these two expressions represent the same value, particularly in relation to a problem involving a phase factor. The consensus confirms that -i is indeed equal to e^{\frac{-i\pi}{2}}, as established by Euler's formula.

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grandpa2390
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Homework Statement


I am trying to understand a solution to a problem. I may not need to post the entire question, I just need to know if ##-i = e^{\frac{-i*pi}{2}}##

Homework Equations

The Attempt at a Solution



the reason for this question is that one step of the problem has a quantity multiplied by -i and the next step changes it to the e^... and claims that it differs just by an overall phase.

If you need the entire question, I sincerely apologize.
 
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