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

Schrödinger equation

  • Thread starter asi123
  • Start date
  • #1
258
0

Homework Statement



Hey guys.

I have this problem:

http://img32.imageshack.us/img32/1561/78854429.jpg [Broken]

For the first part, I believe that adding those solution is just like adding the two levels of energy they represents and that's way this is not a solution for the equation, I think.

For the second part, I have no idea.
Can I please have some help?

Thanks.


Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:

Answers and Replies

  • #2
Hao
93
0
When in doubt, return to the mathematical expression for the Schrodinger's equation.

Schrodinger's equation is [tex]\hat H \psi_n = E_n \psi_n[/tex].

In 1D,
[tex]\hat H = \frac{\hbar^2}{2 m}\frac{\partial^2}{\partial x^2} + V(x)[/tex]

As this eigenfunction equation is linear, having the Hamiltonian [tex]\hat H[/tex] act on a superposition of eigenfunctions [tex]\psi_n[/tex] givens a superposition of [tex]\psi_n[/tex] and their corresponding energies.

A similar principle holds for the next part.
 
  • #3
180
4
Just plug the proposed solution into the Schrödinger's equation and show that it satisfies the equation (both sides are equal).
 

Related Threads for: Schrödinger equation

  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
17
Views
6K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
958
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
949
  • Last Post
Replies
11
Views
2K
Top