If uncertainty Δx in the position is along x-axis then uncertainty in the position of momentum will also be measured along x-axis.
Key Points:
- The uncertainty principle also applies for the same axis of position and momentum.
- Like if Δx is along the y axis then Δp also must be along the same y axis.
- The uncertainty principle also does not have any limitation for measuring instrument.
Heisenberg Uncertainty Principle Formula
The mathematical expression for the Heisenberg's uncertainty principle
Δ p. Δ x ∝ h/4p
By using the above equation, the calculated value of Δ p is the minimum value of Δ p for any particular value of Δ x. Similar the calculated value of Δ x also shows the minimum value of Δ x for any specific value of Δ p.
As Δp = m. Δ v,
So the equation becomes (m. Δ v). Δ x π h/4p
Or
(Δ v)(Δ x) ∝ h/4pm
