In my previous article, I explained the Heisenberg’sUncertainty principle. If you haven’t read it I recommend you to firstly read that article and then come here.

To understand the relation between Heisenberg’s uncertainty principle firstly we need to understand an example. Suppose you want to find momentum of a particle as accurately as possible. By De Broglie’s equation we know momentum of a particle depends on the wavelength of its wave function. So, if we want to know wavelength, the wave function cannot be too localized (it should be spreaded), since the wavelength of a localized wave is not precisely determined.

spread wave
Spread Wave


On the other hand, if we try to measure the position precisely, then we need a localised wave. So, it’s a kind of obvious that we cannot have localized and spread wave at the same time. 

localized wave
Localized Wave
So, we compromise in the form of a wave function that is partially localized and partially spread and provides relatively precise value of both momentum and position

wave packet
Wave Packet
This type of wave function is called a wave packet. Thus, the Heisenberg’s Uncertainty principle is a mere consequence of the wave function.

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                                                                    -Ratnadeep Das Choudhury
                                                      Founder and Writer of The Dynamic Frequency



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