In quantum mechanics If we consider deep squre well potential Sai(x) this denote wave function If we define a particle in a region (say, from x=0 to x=L then In classical mechanics we can  put a partical in this region and also in rest  But,  In quantum mechanic The energy of particale in this region is obviously  KE beacuse in this x=0 to x=L potential is zero This energy is not finite but we get the minimum energy which depends on position.      We call it Eigen value  En=h(cross)×n²×(pie)²/2ml² From this we can find the Eigen values  So we conclude that we can't put a micro particle in a box in quantum mechany It does not exist at rest it has some value of energy which is KE  but,my question is that At absolutely zero temperature KE =0   is passible ?

icon
Related questions
Question
100%

In quantum mechanics

If we consider deep squre well potential

Sai(x) this denote wave function

If we define a particle in a region (say, from x=0 to x=L then

In classical mechanics we can  put a partical in this region and also in rest 

But, 

In quantum mechanic

The energy of particale in this region is obviously  KE beacuse in this x=0 to x=L potential is zero

This energy is not finite but we get the minimum energy which depends on position.      We call it Eigen value 

En=h(cross)×n²×(pie)²/2ml²

From this we can find the Eigen values 

So we conclude that we can't put a micro particle in a box in quantum mechany

It does not exist at rest it has some value of energy which is KE 

but,my question is that

At absolutely zero temperature

KE =0   is passible ?

 

 

 

 

 

 

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer