User:Sumeruhazra
Hi, I am Sumeru Hazra, a post-doctoral research associate at the applied physics department at Yale University.
My expertise and interest lie in the field of superconducting qubits. I have received a PhD in 2022 from the Department of Condensed Matter Physics and Material Science in
[https://en.wikipedia.org/wiki/Tata_Institute_of_Fundamental_Research| Tata Institute of Fundamental Research], Mumbai, India.
Editing Wikipedia
=Translation Operator (Quantum Mechanics)=
I have planned to edit some of the existing subtopics under the page on Translation operator as well as add some new subtopics in the same page.
Here is a brief plan of my work.
1. I want to improve the existing definition of Translation operator
2. I will try to explain more clearly and in a more general way, the introduction to this topic.
3. Then I will add a new topic under the heading Translation Group and will show that the translation operators form an Abelian group
4. I have planned to improve the materials under [https://en.wikipedia.org/wiki/Translation_operator_(quantum_mechanics)#F._Translational_Invariance| Translational invariant Hamiltonian]
5. I have planned to discuss two special cases where the [https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)| Hamiltonian] is translation invariant, first the [https://en.wikipedia.org/wiki/Free_particle| free particle] Hamiltonian, and second, the case of discrete translations.
6. Finally, I want to add a new heading, where hopefully I will be able to explain the topics like [https://en.wikipedia.org/wiki/Lattice_model_(physics)| Lattice] translation, Bloch theorem and formation of [https://en.wikipedia.org/wiki/Electronic_band_structure#Theory_of_band_structures_in_crystals| band].