Finding the ground state energy of electron

  • Thread starter adiputra
  • Start date
  • #1
23
0
1) The problem is about finding the ground state energy of electron in an infinite 2D circular and square potential well with the same area. I have calculate it via method of separation of variables in polar and cartesian coordinate respectively, and it is found out that the one on the circular well has lower energy(confirm to be correct). But, then the question ask why, as in why is it lower? any physical significance causing that? I heard this is the Uni. Berkeley graduate interview question?

2) Since I am on this question, I remember last time one of my lecturer talking about 1D infinite squae well with length L and I forget what is the physical significance to why as L decrease the ground state energy increase (E=h^2/8mL^2)? If i am not wrong, my lecturer say something like as L decrease, the energy is squeezed into a smaller dimension kind of stuff... but then i don't think it is correct as that reasoning talk about energy density.
 

Answers and Replies

Related Threads on Finding the ground state energy of electron

  • Last Post
Replies
1
Views
3K
Replies
3
Views
10K
Replies
6
Views
2K
Replies
2
Views
368
Replies
3
Views
11K
Replies
13
Views
6K
  • Last Post
2
Replies
28
Views
5K
Replies
11
Views
427
  • Last Post
Replies
2
Views
5K
  • Last Post
Replies
1
Views
472
Top