Finding the factor by which two operators differ.

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Homework Help Overview

The discussion revolves around two mathematical operators, specifically A^2B^2 + B^2A^2 and 1/2(A^B^+B^A^)², and the inquiry into the factor by which these operators differ. The context appears to be within the realm of operator algebra or quantum mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the relationship between the two operators, considering methods such as finding inner products or using commutation relations. Some participants question the wording of the original question, suggesting it may be more appropriate to refer to "operations" instead of "operators." Others express confusion about the implications of the definitions of operators and their results.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the question's wording and its implications. There is no explicit consensus on the intended meaning, and participants are actively questioning the assumptions behind the phrasing.

Contextual Notes

There is a noted ambiguity in the terminology used in the question, with some participants suggesting that the distinction between "operators" and "operations" may affect the understanding of the problem. This raises questions about the definitions and expected outcomes associated with the terms used.

H.fulls
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1. Homework Statement
I have two operators
A^2B^2+B^2A^2

1/2(A^B^+B^A^) 2

By what factor do the two operators differ?


3. The Attempt at a Solution
I believe I either have to find the inner products of them and relate them somehow or use commutation?
Not sure which one!
I don't want help with the maths as I really need to try figure that bit out myself! But I am not quite sure what the question is asking me to do.
 
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Shouldn't the question read "By what factor do the two operations differ"?
That is the result of the two operations differ by only a factor, or one answer is a factor of the other.
 
Thats not how the question is worded :/ Would maybe make more sense like that...But it definitely says by what factor do the two operators given differ.
 
That doesn't make sense. Operators are defined a certain way and give variable results when operating on the operands. So I would think they intended to write 'operations'. If that is what they really intended why would they give two equations then?
 

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