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I figured it out!

I was just talking three days ago that I haven't figured out how to show that quadratic annihilation operators are linearly independent. Yesterday, I figured it out! At least, for a certain type of operator. I just have to be clever about it. 

I am really proud of this one because I struggled with it for days. This proof is a bit more complicated than the one about annihilation operators. And it needs a lemma or two. And some mathematical induction.

The last three weeks has been crazy. Too many things happened. Now I want to settle down a bit. Focus on what matters. 

For now, we are preparing a paper. Then I'm writing the manuscript. I have a month to do that before I submit it to my advisers. Then make arrangements for that trip in Tunisia. 

It will be a crazy semester. I hope I graduate on time. I have so many ideas but that will have to go to the recommendation chapters. Let's wrap it up! I think I have enough to answer the objectives in my proposal.

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