How Does Understanding Complex Analysis Basics Help Solve Problems?

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Understanding the basics of complex analysis is crucial for solving problems involving complex numbers, particularly in demonstrating properties like the modulus and argument of their products. The discussion highlights a specific problem related to complex algebra, emphasizing the need for foundational knowledge in the subject. It points out that the question was miscategorized and suggests reviewing the relevant chapter on complex analysis for clarity. The importance of expressing complex numbers in polar (exponential) form is also noted, as it aids in problem-solving. Mastery of these concepts is essential for progressing in more advanced topics like quantum physics.
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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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