The One-body Problem
Let us begin by discussing the — apparently elementary — situation of the transition from special relativity to non-relativistic mechanics (NRM) by taking the limit c -1 →0. (This involves moving along SR to NRM in Fig. 1.1.)While the text books consider this limiting procedure as straightforward, we will see that some curious features arise  when we evaluate the limiting form of the action functional in this context.
KeywordsHarmonic Oscillator Coherent State Inertial Frame Free Particle Galilean Transformation
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