Titlebook: Sleeping Beauties in Theoretical Physics; 26 Surprising Insigh Thanu Padmanabhan Book 2015 Springer International Publishing Switzerland 20

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The One-body Problem,king the limit .. →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 [2] when we evaluate the limiting form of the action functional in this context.

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The Emergence of Classical Physics,lly understanding it — as we learn more about it! There are several conceptual and technical problems involved in taking the classical limit of a quantum mechanical description. We will not worry too much about the conceptual issues — interesting though they are — but will instead concentrate on one

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Orbits of Planets are Circles!,ticated. It turns out that the trajectory of a particle, moving under the attractive inverse square law force, is a circle (or part of a circle) in the . (The high-tech name for the path in velocity space is .). The proof is quite trivial and, in fact, the entire Kepler problem is quite trivial but

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Potential surprises in Newtonian Gravity,net—which is distinctly non-spherical in shape—falls exactly as ... outside of it? The initial reaction of many physicists will be: “No, of course, not; you need a spherically symmetric distribution of mass to produce a 1.. force outside it”. Surprisingly, this is not true.

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