Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrases：The OTOC operator exhibits exponential growth in classical syste

Classical systems show exponential growth in the OTOC operator, with the exponent magnitude corresponding to the Lyapunov exponent. In the quantum case, the OTOC operator also exhibits exponential growth within the Ehrenfest time $t_E$ \cite{adagideli2003ehrenfest}, which is similar to its classical counterpart. However, beyond the Ehrenfest time, the diffusion becomes power-law. In this section, we consider the momentum operators $p(t)$ and $p(0)$ as $W(t)$ and $V(0)$ in the OTOC operator, respectively. Thus, the OTOC can be expressed as $C_T(t)=-\left \langle \left [ p(t),p(0) \right ]^{2} \right \rangle$. We expand this expression and transform it to the Schrodinger representation to obtain the desired results.