>[!summary] Bose-Eisten condensate occur when cooper pairs are cooled to a low enough temperature forming cooper pairs acting like a boson >[!info]+ Read Time **⏱ 1 min** # Explanation When [[Cooper Pairs]] are formed they are in the same frequency as other ions creating photons (all at the same frequency) ![[bose_2.png]] [^1] When cooper pairs are cooled to this low temperature their two fermion electron most favourable state is to be as a boson So there spin's add up to form a boson: $1/2 + (-1/2) = 0$ $1/2 + 1/2 = 1$ ![[bos_3.png]] [^2] Since there is a boson they want to occupy the same quantum state which they can do now. Forming a cooper pair. >[!warning] Electrons dont jump to different states They arnt fermion then become boson, they always are fermions but act like boson because it's energetically favourable # Extra Resources I found this video helpful in understanding cooper pairs and BCS theory by [Love to learn]() [^1]: Taken from https://en.wikipedia.org/wiki/Cooper_pair#/media/File:Cooper_pairs.jpg by Tem5psu [^2]: Taken from https://ffden-2.phys.uaf.edu/212_fall2003.web.dir/Aaron_Kennard/Basic%20Conditions.html --- 📂 Want to see more structured notes like these? Help grow the project by [starring Math & Matter on GitHub](https://github.com/rajeevphysics/Obsidan-MathMatter). ---