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--- equations:hamilton-jacobi_equation [2018/04/15 11:50]
ida [Abstract]
+++ equations:hamilton-jacobi_equation [2018/04/15 11:51]
ida [Abstract]
@@ Line 51: / Line 51: @@
 where $p_1$ is the momentum of the particle going from $q_0$ to $q_1$, at time $t_1$, and
-$$  \frac{\partial W}{\partial q_0^i}&= -(p_0)_i,\qquad\text{(-momentum at time $t_0$)} $$
+$$  \frac{\partial W}{\partial q_0^i}= -(p_0)_i ,\qquad\text{(-momentum at time $t_0$)} $$
-$$ \frac{\partial W}{\partial t_1}&= -H_1,\qquad\text{(-energy at time $t_1$)} $$
+$$ \frac{\partial W}{\partial t_1}= -H_1,\qquad\text{(-energy at time $t_1$)} $$
-$$ \frac{\partial W}{\partial t_0}&= H_0,\qquad\text{(+energy at time $t_0$)}
+$$ \frac{\partial W}{\partial t_0}= H_0,\qquad\text{(+energy at time $t_0$)}
  $$