What is the General Solution for the Schrödinger Equation in a 2D or 3D Box?

Click For Summary

Homework Help Overview

The discussion revolves around finding the general solution for the Schrödinger equation in two-dimensional and three-dimensional boxes, building on the known solution for a one-dimensional box.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning how to extend the known one-dimensional solution to higher dimensions and are considering the implications of solving the Schrödinger equation in these cases.

Discussion Status

Some participants encourage the original poster to attempt solving the equation for the 2D case as a starting point, indicating a willingness to provide help based on that attempt. There is an ongoing exploration of what constitutes a general solution in these contexts.

Contextual Notes

There is an implicit assumption that the original poster is familiar with the one-dimensional case but may lack the necessary steps or methods for higher dimensions. The discussion does not provide specific constraints or missing information but highlights the need for an attempt to facilitate further guidance.

kasse
Messages
383
Reaction score
1
The solution of the one dimensional Schrödinger equation for a particle in a one dimensional box is [tex]Asin \frac{n \pi x}{a}[/tex]. But how about if the box is 2D or 3D?
 
Physics news on Phys.org
Have you considered actually solving the Schroedinger equation for these cases?...An attempt at that would probably be a good way to start.
 
What is the general solution then?
 
kasse said:
What is the general solution then?

Show us an attempt and I'll be happy to help you. Start with the 2D case.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
Replies
29
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
5
Views
2K
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K