Prove that the quantity \(g^{\prime \prime}\left(x_{0}ight)\), see equations (3.2.25), is equal to \(\left\langle(E-U)^{2}ightangle \exp (2 \beta)\). Thus show that equation (3.2.28) is physically equivalent to equation (3.6.9).

Data From Equation (3.2.25)

Data From Equation (3.2.28)

Data From Equation (3.6.9)

Transcribed Image Text:

g" (x0) = f"(xo) f'(xo)12 NU+1 f(xo) [f(x)] + Nx f"(xo) U-U f(x0) x