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**A**and

**B**, We have to find A /B - Will it equal to AB

^{-1 OR B-1 A , Because i have read that it equals to AB-1 , BUT i could not find reason for that. thanks }

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In summary, the conversation discusses the notation for A/B, which can be read either as AB^-1 or B^-1A. The reason for this ambiguity is that A/B is typically read left to right, leading to the notation AB^-1. However, this notation may not be clear for non-commutative objects. The conversation also mentions that the notation may not be used in some languages, such as Arabic and Japanese, due to different reading directions.

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wasi-uz-zaman said:HI, Suppose there are two operatorsAandB, We have to find A /B - Will it equal to AB^{-1 OR B-1 A , Because i have read that it equals to AB-1 , BUT i could not find reason for that.}

There is no reason - its just A/B is read left to right so you tend to write it as AB^-1.

Thanks

Bill

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I think that arab physicists will not be convinced by this answer!

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Who asks you this? I have never seen this notation and I think it isn't used precisely because it is ambiguous.wasi-uz-zaman said:HI, Suppose there are two operatorsAandB, We have to find A /B

Generally in abstract algebra, [itex]\frac{x}{y}[/itex] is a

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how do you know i am arabnaima said:I think that arab physicists will not be convinced by this answer!

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hello i have read this in book " quantum mechanics concepts and applicatiotion" by zettlii page 147 2nd editionbhobba said:There is no reason - its just A/B is read left to right so you tend to write it as AB^-1.

Thanks"

Bill

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wasi-uz-zaman said:how do you know i am arab

He doesn't. Naima was pointing out that Bhobba's answer wouldn't be particularly helpful to someone whose native language is written right-to-left, and Arabic is the first example that came to mind.

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Israeli also write from right to left and up to down.

It becomes more complicated with traditional japonese.

Things can be read from up to down and then from right to left so ## \frac {x}{y}## has no asymmetry.

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