CENTRAL FORCE PROBLEMS - Reed College

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4CENTRAL FORCE is where it all began. Newton sMathematical Principles ofNatural Philosophy( )waswrittenandpublishedattheinsistanceof youngEnmundHalley( )sothattheworldatlargemightbecomeacquain tedwith the general theory of motion that had permitted Newton to assure Halley(on occasion of the comet of ) that comets trace elliptical orbits (andthat in permitted Halley to identify that comet now known as Halley scomet withthecometsof and ,andtopredictitsreturnin ). Itwaswitharemarkablydetailedbutradically innovativeaccountofthequantumtheory of hydrogen that Schr odinger signaled his invention of wave mechanics,a comprehensive quantum theory of motion-in-general. In both instances,description of the general theory was preceded by demonstration of the successof its application to the problem of two bodies in CENTRAL ButIwouldliketo preface our work with some remarks intended to place that problem in itslarger often yield, as classical physicists, to an unexamined predisposition tosuppose thatallinteractions are

4 CENTRAL FORCE PROBLEMS Introduction. Thisiswhereitallbegan.Newton’sMathematicalPrinciplesof NaturalPhilosophy( )waswrittenandpublishedattheinsistanceofyoung ...

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