Quantum Mechanics: 1D Parabolic Potential Wave Function

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Discussion Overview

The discussion revolves around the interpretation of a question related to the wave function of a one-dimensional harmonic oscillator in Quantum Mechanics. Participants explore whether the question requires the specific wave function for the ground state (n=1) or a general expression in terms of n, particularly focusing on the time dependence of the wave function.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about whether to provide the wave function for n=1 or a general wave function in terms of n, particularly due to confusion over the time dependence aspect.
  • Another participant suggests that a linear combination of eigenfunctions for n=0 and n=1 should be written, along with a time factor, and mentions a probability problem that needs to be addressed.
  • A later reply indicates a willingness to attempt the suggested approach and share results.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific requirements of the question, as there are differing interpretations regarding the need for a specific wave function versus a general one.

dcuk86
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Hi, I'm currently working through some exam papers from previous years before an upcoming module in Quantum Mechanics.
I'm a little stumped with this one, I'm assuming that I'm looking at a 1D harmonic Oscillator and the wording of the question suggests that the wave function just needs to be stated and not actually proven (?).
In your opinion is this question looking for the wavefunction for n=1 or a general wavefunction in terms of n? its mostly the time dependence which has thrown me.
 

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apologies, I'm fairly new to this forum, I think I should have posted this in the homework section?
 
Well, you have to write down a linear combination of eigenfunctions for a case n=0 and n=1, and then multiply it by a time factor. And then do a probability problem.

That is how I would do it.
 
thanks for that, I'll give it a go and let you know how I get on
 

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