I have often found myself scouring the web looking for a clue to a proof, or why a negative sign suddenly appears. If I am lucky, I more often than not, find the necessary clue at some blog where it is beautifully explained. This blog hopefully will be written in that spirit. It is meant for the student who is desperately searching the internet for an explanation that everyone has said is obvious. Also I shall try to explain little curiosities in physics that are never asked or answered in class, for example how come the symmetric matrices always appear in physics; what is this a reflection of ? Is it some coincidence or a reflection of some fundamental principle.
The first thorough examination will be on 2 coupled oscillators. The problem will be solved using matrices, Laplace transforms, Lagrangian mechanics and Green's Functions.
The first thorough examination will be on 2 coupled oscillators. The problem will be solved using matrices, Laplace transforms, Lagrangian mechanics and Green's Functions.
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