Question about phase factor in Quantum Mechanics

AI Thread Summary
The discussion centers on the equivalence of the complex number -i and the exponential expression e^{-iπ/2}. It confirms that -i can indeed be expressed as e^{-iπ/2}, highlighting the concept of phase factors in quantum mechanics. The transformation from -i to e^{-iπ/2} is noted to represent a change in overall phase rather than a change in the physical state. The reference to Euler's formula provides a mathematical foundation for this equivalence. Understanding this relationship is crucial for solving problems involving phase factors in quantum mechanics.
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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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