Classical Hamilton Equations (Leap Frog)

Available identifiers

MaRDI QIDQ6674264

leap frog scheme for time-discretization of Hamilton's equations of motion

Defining Formula: $\begin{array}{ccc}p(t+\tau /2)& =& p(t)+\tau F(q(t))/2\\ q(t+\tau )& =& q(t)+\tau p(t+\tau /2)/m\\ p(t+\tau )& =& p(t+\tau /2)+\tau F(q(t+\tau ))/2\end{array}$

$F$ symbol represents Classical Force

$\tau$ symbol represents Time Step

$m$ symbol represents Mass

$p$ symbol represents Classical Momentum

$q$ symbol represents Classical Position

$t$ symbol represents Time

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