Heisenberg Uncertainty question Why does my professor write

Heisenberg Uncertainty question...

Why does my professor write deltap_ydeltay>h/4pi and then h (bar) = h/2pi? The book just says deltap_ydeltay>h/2pi. What is going on? Pic here.

Small 1. Large py Large ay, Small p There is a reciprocal relationship between p and y. 2 2T

Solution

The uncertainity principle states that if position is known more accurately(smaller delta y) , the less accurately you know the momentum of the particle(larger delta py) and vice versa.

So,

delta P_ydeltay>=h/4pi= h(cross)/2

where h(cross)= h/2pi.