Understanding the relation between Heisenberg's Uncertainty principle and wave function

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

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

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

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

In my upcoming articles, I will also derive Heisenberg’s Uncertainty principle both mathematically and logically so, don’t forget to subscribe to our website and follow me on social media for updates…..