Understanding the Wave Function to dψ^2/dx^2 and Its Properties

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SUMMARY

The discussion focuses on the mathematical properties of the wave function, specifically the equation "ψ (x,t) = Ae^(i(px-Et)/h)" and its second derivative dψ^2/dx^2. Participants clarify that dψ^2/dx^2 equals -p^2/h^2 due to the property of the imaginary unit i, where i^2 = -1. This understanding is crucial for interpreting wave functions in quantum mechanics, emphasizing the significance of complex numbers in physical equations.

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I don't understand "ψ (x,t) =Ae^i(px-Et)/h"

I understand dψ^2/dx^2 = i^2p^2/h^2

but why dψ^2/dx^2 = -p^2/h^2

"-" from
"i^2" missing
please help me :frown::frown::frown::frown::frown::frown:
 
Physics news on Phys.org
The imaginary unit ##i## is a number with property ##i^2 = -1##. The only other number with same property is ##-i##.
 
hilbert2 said:
The imaginary unit ##i## is a number with property ##i^2 = -1##. The only other number with same property is ##-i##.
thankful
 

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