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ovoleg

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My book defines the Heisenberg uncertainty principle by

∆x∆Px >= aitch-bar

All other resources I have have it stated as

∆x∆Px >= aitch-bar/2. They mention that ∆Px and ∆x represent the rms values of independent measurements.

My book represents ∆x and ∆Px as the standard-deviation uncertanties right..

So say for instance you get a general question like x-cordinate of a proton is measured with uncertainty of 1.3mm. What is the xcomponent of velocity to the minimum percentage of uncertainty of 33%.

would you take ∆x as the standard deviation uncertanties or rms values ?

It seems like it varies from book to book but in general shouldn't this be the same? Say someone posed a question like this online, how would I know what to use?