5. The Schrodinger equation
The harmonic oscillator ... This allows us to write the energy balance equation as: E = K+V(x) = 1 2 m[v(t)]2+ 1 2 k[x(t)]2 = 1 2 mv2 0cos 2ωt+ 1 2 kx2 0sin 2ωt, (5.13) = 1 2 mv2 0 = 1 2 kx2 0. (5.14) Since hsin2()i = hcos2()i = 1 2 we can also write: hKi = hVi = E 2. (5.15) This means that the spring is a machine that equipartitions the ...
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