PRESENTATIONS
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Rotating Black Holes (CMI, Chennai):
During my general relativity course, I spoke about rotating black holes covering their
important features such as horizon, Ergosphere. I also demonstrated the energy extraction
by the Penrose process. In the end I mentioned the Area increase theorem in Penrose process
and drew an analogy between entropy in thermodynamics and area of the black hole. I then the
highlighted the fact that the energy extraction cannot carry on infinitely as there is a
limit to which energy can be extracted.
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Adiabatic Theorem and Berry's Phase (PISR, Bangalore):
A brief outline of the Adiabatic theorem in Classical and Quantum Mechanics was presented.
The two different internal and external time scales of a system was discussed and the way they
are related. I then carried out the derivation of the Adiabatic theorem in Quantum Mechanics
and generalised it to the Berry's phase by highlighting the fact that there can be any time
dependent parameter in the Hamiltonian which will lead to this geometric phase. I then took
up the example of a charged particle kept in a magnetic field of constant magnitude and sweeping
out a cone with time. I showed that the ratio of geometric phase gathered and the solid angle
subtended by the cone is a multiple of the spin of the particle.
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Special Relativity with reference to Michelson Morley experiment (CMI, Chennai):
A historical background describing the need for Special Relativity was presented. I then
mentioned Michelson Morley experiment in great detail which ruled out the possibility of
the existence of aether. I then spoke about the Einstein's postulates uniformity of
laws of physics in all internal frames and constancy of speed of light. I ended by writing
the famous Lorentz transformations.