# Uncertainty principle in classical mechanics and quantum mechanics

I was just listening to the Leonard Susskind lectures on youtube on qunatum mechanics basics. He said that uncertainty principle in classical mechanics is completely different from that of quantum mechanics. I have done some enough researches on it regarding the view but failed to understand what he supposed to mean. Almost all the articles on internet show links between uncertainty principle and quantum mechanics. I see there is nowhere written any connection between classical mechanics and uncertainty principle. If anybody knows please kindly share any lecture or preview where i can get the clear idea about the differences imposed on uncertainty principle.

• Link and minute of youtube video? – Qmechanic May 12 '19 at 13:42
• youtu.be/2h1E3YJMKfA – Lonely walker May 12 '19 at 13:44
• Are you talking about this section of the lecture, @F.sharmin? – exp ikx May 12 '19 at 13:51
• Yes sir. Glad u noticed – Lonely walker May 12 '19 at 14:12

Mathematically, it says $$\Delta x \Delta p \geq \dfrac{\hbar}{2}$$, where $$\hbar$$ is of the order of $$10^{-34} \text{J s}$$. It is not a limitation of our technological prowess or our 'laziness' in measuring procedure, but the nature of reality. It is not that we are incapable of measuring exact momentum and position simultaneously, but it is that we can never. Well-defined position and well-defined momentum are mutually exclusive properties for a particle at an instant of time.