ClassicalMechanics.tex

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\title{Classical Mechanics}
\author[1]{Ranza}\affil[1]{ScienceNotebooks GitHub rep}

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\section{Principle of least action}

Given the Lagrangian \(L\) of variables \(q_i,\dot{q}_i\) the principle of least action states

\begin{equation}\begin{aligned}\frac{\partial L}{\partial q_i}-\partial _t\frac{\partial L}{\partial \dot{q}}=0\end{aligned} \label{LeastAction}\end{equation}

Equation~\ref{LeastAction} can be found in~\cite{arnold1989mathematical}

\begin{remark}Variable which doesn’t occur in the Lagrangian is called cyclic and is connected with a conserved quantity (symmetry).\end{remark}

\section{Another section}

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