Confirming Symmetric & Antisymmetric Solutions for Wave Function

Click For Summary

Homework Help Overview

The discussion revolves around confirming the correctness of wave function solutions for a given symmetric potential in quantum mechanics, specifically focusing on symmetric and antisymmetric states as described by the Schrödinger equation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to validate their expressions for the wave functions corresponding to symmetric and antisymmetric states. Some participants question the clarity of the potential being referenced, while others seek further details about the attachments provided.

Discussion Status

The discussion is ongoing, with participants actively seeking clarification on the potential involved and the validity of the attachments. There is no explicit consensus yet, as the original poster expresses uncertainty and others are asking for more information.

Contextual Notes

Cosmossos
Messages
100
Reaction score
0

Homework Statement


Hello,
Can you confirm that what I wrote is correct for the given potential?
https://www.physicsforums.com/attachment.php?attachmentid=22309&stc=1&d=1260118852

Now I wrote the term for the wave funcation and for the given symetric potential , the functions of the serdinger equation are symetric.so for the symmetric state - Psi (s) and the antisymmetric state Psi(a) I need to show that the energy of the symetric state is given by solving the following equations:
http://www.zix.co.il/images/630087545.JPG

Please help me , I'm hopeless.
thanks

Homework Equations





The Attempt at a Solution


 
Physics news on Phys.org
What is the potential? o.O
 
The potentials is V in first picture
 
The first picture is either not loaded properly or is not a valid attachment. Can you write what it is?
 
Here is another try
untitled.JPG
 

Similar threads

Confusion In Writing Identical Particle Wavefunctions
  • · Replies 12 ·
Replies
12
Views
2K
Wave Function for a Particle in a Symmetric Infinite Square Well
  • · Replies 7 ·
Replies
7
Views
2K
Mixed states and total wave function for three-Fermion-systems
  • · Replies 1 ·
Replies
1
Views
2K
Continuity Equation for a Dimensionless Harmonic Oscillator
  • · Replies 16 ·
Replies
16
Views
3K
Why does a symmetric wavefunction imply the angular momentum is even?
  • · Replies 6 ·
Replies
6
Views
4K
Is the given wave function a stationary state?
  • · Replies 3 ·
Replies
3
Views
2K
Spatial Wave function of two indistinguishable particles
  • · Replies 26 ·
Replies
26
Views
4K
Eigensolution of the wave function in a potential field.
  • · Replies 5 ·
Replies
5
Views
2K
Wave Functions With Same Energies Are the Same (only differ by a complex phase)
  • · Replies 5 ·
Replies
5
Views
2K
Checking assumptions in boundary conditions of double well system
  • · Replies 5 ·
Replies
5
Views
3K