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 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 Translational invariant Hamiltonian
5. I have planned to discuss two special cases where the Hamiltonian is translation invariant, first the 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 Lattice translation, Bloch theorem and formation of band.