Correct version of uncertainty Principle

[neelakash]

Homework Statement

What is correct: delta E delta t> h' where h'=h/2π
or,delta E delta t> h'/2

generally ~ sign is written in this expression of uncertainty principle...I want to be sure

Homework Equations

It is uncertainty principle.

The Attempt at a Solution

I think it is the 2nd which is true.
We know (delta x)(delta p)> h'/2
=>[(delta x)/c][(delta p)c]>h'/2
=> (delta t)(delta E)>h'/2

 

[anathema]

=> delta E delta t > h'/2

Yes, you are correct. The second expression is the correct one for the uncertainty principle. The first expression is incorrect because it does not account for the conversion factor of h/2π for Planck's constant. The general convention is to use the "~" symbol to represent the uncertainty principle, as you have mentioned. So the correct expression would be:

ΔEΔt ~ h'/2

 

[m2003]

=> (delta E)(delta t)>h'/2

Yes, the second version is the correct form of the uncertainty principle. The "h'" notation is often used because it is easier to work with mathematically, but it is equivalent to h/2π. The "~" symbol is often used to indicate that the two sides are proportional to each other, rather than equal.

It is also worth noting that the uncertainty principle is a fundamental principle of quantum mechanics, and is not something that can be proven or disproven. It is supported by experimental evidence and is a key concept in understanding the behavior of particles on a quantum level.