__About the interview:__

First part of the interview is the panel members going over your educational background and your activity in any gap there might be since your last degree. They did this for me as well. In this part of the interview, I had it a little easier as I had attended a summer school at IMSc in 2014, which was evidence that I had been interested in coming into a physics research career for a long time by then, and supported my statement that I could actively make the shift in my career only recently due to personal circumstances. In fact I had even met one of the panel members(who had taught in that summer School) around 1.5 years earlier for career advice, and he even recognized me.

__Quantum mechanics:__

First question was solving the harmonic oscillator problem using ladder operator method. I was able to derive the solution from scratch, and the panel, for most part of the interview, was patient when I needed a few more moments to pause and think. This was lucky for me as I was thorough with the harmonic oscillator derivation from studying it in Griffiths book, and could explain every step in good continuity, including for example the point that the ladder operators were guessed with inspiration from trying to factorize the Hamiltonian, etc. This derivation itself took a while, with the panelists asking questions now and then to make sure I actually understood every single thing that was going on in the steps- sorry but i cant recall all the little questions in detail as I’m writing this a year since the interview. After this derivation, there were 1 or 2 follow up questions where they gave new Hamiltonians to solve(again sorry but I don’t remember the exact hamiltonian). Although at first it looked tough, it could be noticed that the new Hamiltonian commutes with the Hamiltonian of the harmonic oscillator, hence it has the same set of eigen states, and now since the wave function from solution is same, we could substitute the energy eigen value equation of of the old Hamiltonian into the corresponding equation for new Hamiltonian hence getting the energy levels of new Hamiltonian. I think one of the new Hamiltonians they had given was H^2 (if I am not mistaken), where H is hamiltonian of harmonic oscillator. I understand this last question was probably vague the way I explained, but I hope you got a taste of on-the-spot thinking they expect.

__Electromagnetic theory questions:__

__Mathematical Physics questions (by choice) :__

__Final word:__

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