notes on classical dynamics references marion j b thornton s t 1995 classical dynamics of particles and th systems 4 ed saunders nd shankar r 1994 principles of quantum mechanics ...
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...Notes on classical dynamics references marion j b thornton s t of particles and th systems ed saunders nd shankar r principles quantum mechanics plenum newtonian notation d dt x f m i to n p momentum in cartesian coordinates then example simple harmonic oscillator displacement pendulum along horizontal axis hooks law for restoring force linear approximation small displacements k or w with the solution is cos wt we can define a potential u when work done path independent dw increment odw ofdx under this condition okx dx euler equation ol y find extremum suppose an some constant arbitrary function necessary that o l so now use integration by parts second term recall fg g substituting because therefore any implies...