How Does Understanding Complex Analysis Basics Help Solve Problems?

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Homework Help Overview

The discussion revolves around understanding fundamental concepts in complex analysis, particularly the properties of complex numbers, their moduli, and arguments. Participants are exploring how these concepts apply to a specific problem related to complex algebra.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the original problem's clarity and its placement in the forum. There are inquiries about the participants' understanding of complex algebra and suggestions to consider the polar form of complex numbers.

Discussion Status

The discussion is active, with participants providing guidance on the importance of understanding complex numbers and their representations. There is no explicit consensus on the problem's resolution, but several lines of inquiry are being explored.

Contextual Notes

Some participants note that the original poster may lack foundational knowledge in complex analysis, which could hinder their ability to address the problem effectively. The problem is also described as a review question from a quantum physics class, adding context to its relevance.

belleamie
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not sure how to solve this problem, Any suggestions or examples?
 

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you should have posted this in the homework section.

What do you know on complex algebra ?

marlon
 
(This is not Quantum Physics - moving to homework help)

The question is wrongly written. It is asking you to show that the modulus of the product of 2 complex numbers is equal to the product of their moduli, and that the argument is equal to the sum of their arguments.
 
marlon said:
you should have posted this in the homework section.

What do you know on complex algebra ?

marlon
Hmm the problem was a review question for my quantum 1 class which is why i posted it here. Since I wasnt sure exactly where in my book it referred to it. I'm taken up to linear algebra a couple yrs ago. I cut and pasted thequestion as it was typed in my notes...
 
What happens if you write the complex numbers in the polar (exponential) form ?
 
Gokul43201 said:
What happens if you write the complex numbers in the polar (exponential) form ?
I'm not sure how to write it in that form
 
belleamie said:
I'm not sure how to write it in that form

z = r(\cos \theta + i\sin \theta) = re^{i\theta}
 
belleamie said:
I'm not sure how to write it in that form
In that case, you need to go over your chapter on complex analysis from the start. If you do not know the basics of complex numbers, you will not get anywhere by cutting and pasting solutions.
 

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