Confirming Symmetric & Antisymmetric Solutions for Wave Function

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The discussion revolves around confirming the correctness of wave function solutions for a symmetric potential in quantum mechanics. The user seeks validation for their expressions of symmetric (Psi(s)) and antisymmetric (Psi(a)) states, emphasizing that the energy of the symmetric state can be determined by solving specific equations. However, there is confusion regarding the potential, as the attached image is either not visible or invalid. Participants are encouraged to clarify the potential to assist in the analysis of the wave functions. The thread highlights the importance of clear communication and valid references in solving quantum mechanics problems.
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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
 

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