(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the eigenvectors of the following operator (a+)^2-(a)^2, when (a+), (a) are the creation and the annihilation operators.

2. Relevant equations

3. The attempt at a solution

I tried to put the eigenvectors as sum of eigenvectors of operator N=(a+)(a).Maybe you know some tricks that can simplify the solution?

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# Quntum question

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