Greens Functions in Classical Physics.pdf

Greens Functions in Classical Physics

Tom Rother

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leaf green style avatar for user bart.p1990 ... So when he says one of those functions "is a solution", in this case, since he's speaking of ... most useful class when you're studying classical physics-- are linear second order differential equations.

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Greens Functions in Classical Physics.pdf

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9 Green’s functions 9.1 Response to an impulse We have spent some time so far in applying Fourier methods to solution of di↵erential equations such as the damped oscillator. These equations are all in the form of Ly(t)=f(t), (9.169) where L is a linear di↵erential operator. For the damped harmonic oscillator, L =(d2/dt2 + d/dt+ !2 0). As we know, linearity is an important property Chapter 5 Green Functions - Georgia Institute of Technology

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9 Green’s functions 9.1 Response to an impulse We have spent some time so far in applying Fourier methods to solution of di↵erential equations such as the damped oscillator. These equations are all in the form of Ly(t)=f(t), (9.169) where L is a linear di↵erential operator. For the damped harmonic oscillator, L =(d2/dt2 + d/dt+ !2 0). As we know, linearity is an important property