• Support PF! Buy your school textbooks, materials and every day products Here!

Heisenberg and energy of an electron in a potential well

[SOLVED] Heisenberg and energy of an electron in a potential well

1. Homework Statement
An electron is confined within a one dimensional potential well that measures 1 nm. using the uncertainty principle, estimate the order of magnitude for the ground state energy of the electron in the well in eV.


2. Homework Equations


3. The Attempt at a Solution

i used the equality in the uncertainty principle and substituted DeltaY (uncertainty in position) with 10^-9 m . Then you have only 1 unknown which is DeltaP_y (uncertainty in momentum y - component). I got a number from here and then used it in the expression of the KE in terms of momentum (P^2/2m = KE). unfortunately what i got was sth in the order of 10^31 which is surely wrong.

Any ideas ?
 

Answers and Replies

249
0
I got about 10^-21 with the same procedure. Try again and be carefull to use correct units.
 

Related Threads for: Heisenberg and energy of an electron in a potential well

Replies
6
Views
3K
Replies
2
Views
2K
Replies
3
Views
11K
Replies
1
Views
1K
  • Last Post
Replies
4
Views
1K
Replies
2
Views
1K
Replies
1
Views
2K
Top