THE HARMONIC OSCILLATOR - MIT OpenCourseWare
5.61 Fall 2007 Lectures #12-15 page 3 Total energy = K + U = E E = 2 1 kx 0 ⎡ ⎣sin 2 (ωt)+ cos2 (ωt)⎤ 2 ⎦ E = 1 kx2 2 0 x(t) x 0(t) 0 t -x 0(t) 1 2 U K kx 0 E 2 0 t Most real systems near equilibrium can be approximated as H.O. e.g. Diatomic molecular bond A B X U X X 0 A + B separated atoms equilibrium bond length ................
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