Physics/Math personal blog

 I will be updating this post regarding my project work. All the orange words are links! 1) Initial report  2) MASAs and MUBs - Part 1 (edited) This report isn't complete or self contained but it is my summary of the sections of Andras Szanto's paper [here] that I found relevant to the problem. There is no original contribution from my end in either this or the previous writeup, they are only meant to clarify terminology and set the stage. Some large updates coming soon! (1 Jan 2023) Said update : I am about 11 months late to post this, but attached below is some code (in MATLAB. I am truly sorry, some array operations are just way more convenient here) I wrote to show, essentially by brute force, that all classes of weakly unextendible MASAs belong to a complementary decomposition that satisfies Szanto's criterion. See this report explaining that monstrosity of a program and some interesting findings. I hope to actually improve the speed of this program and therefore...

Chapter 1  -  Basics Chapter 2   -  Basic Topology Chapter 3  -  Sequences Chapter 4   - Continuity (in progress)

Chapter 4 Chapter 5 Chapter 6 + Problems Chapter 8

  Notes on Chapter 14 of R.Shankar's QM -- Notes on Chapters 12 and 13 of R.Shankar's QM : Part 1 Part 2  (problems mostly) Hydrogen Atom -- Notes  on Chapter 11 of R.Shankar's QM. -- Notes  on Chapter 10 of R.Shankar's QM

 The following is my project submission for the course PH3500 at IIT Madras. I chose to present the topic of the Action-Angle transformation and demonstrate it's elegance with regard to analysing periodic systems, and as a systematic approach to finding Adiabatic Invariants. I also illustrate a simple application of the concept of Adiabatic Invariants to approximately solve some mechanical problems.

This article attempts to make sense of spin from the point of view of a beginner. It tries to make this transition a bit smoother and better motivated. Kindly click the following  link (edited) to read it.