Help please (concerning eigenfunctions and the Schrödinger equation)

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Homework Help Overview

The discussion revolves around the topic of eigenfunctions in the context of the Schrödinger equation, particularly focusing on confirming whether a given wave function qualifies as an eigenfunction.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to simplify a wave function but expresses uncertainty about the next steps to confirm its status as an eigenfunction. Some participants question the clarity of the original poster's work and suggest improvements for better communication.

Discussion Status

The discussion is ongoing, with participants providing feedback on the clarity of the original poster's submission. There is a suggestion to operate on the wave function with the Hamiltonian to check for eigenfunction properties, indicating a potential direction for exploration.

Contextual Notes

The original poster is under time constraints due to an upcoming exam, which may influence the urgency and nature of the questions being raised.

medofx
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Relevant Equations
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i have an exam in 2 days and in this question i don't know how should i proceed after that i simplified the wave function but i don't know how to confirm that it's an eigenfunction
 

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Welcome to the PF. :smile:

Your attachment with your work is very hard to read. Can you make a higher-quality scan of it and attach that? Better yet would be for you to type your work into the forum Edit window using LaTeX -- there is a tutorial on LaTeX at the Help pages (see INFO at the top of the page). Thanks
 
hopefully this is better
 

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medofx said:
hopefully this is better
Your attempt at a solution is not relevant to the question. To show that the given wavefunction is an eigenfunction, you need to operate on it with the Hamiltonian and see whether you get back the same wavefunction times a constant, in this case one of the energies ##E_n##.
 
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