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# 178 Actions

 2d revised Problem on circular motion added 404 characters in body 2d revised Problem on circular motion added 526 characters in body Jul 18 answered Problem on circular motion Jul 17 comment Dyson Series Iteration - Gives Exact Solution? @Electrictobe Not quite sure. (Read this: en.wikipedia.org/wiki/Dyson_series ) It looks to me that the main message of dyson series was to take care of the deviation of operator's time dependence. By increasing the order, it resolves the time dependence, and when approach infinity, it's exact. It's basically integrating along the path in infinite decimal place in $t$. It doesn't matter which operator you are using, as long as it can be expressed as a valid dyson series, which is important, you don't need to worry about the solution, unless you are thinking about approximation. Jul 16 comment Integral as summation in quantum mechanics @kay when you convert $\langle f|g\rangle$ to $f(x)g(x)$ you probably used summation of $|x\rangle\langle x|$ over all $x$, which is equivalent to $\int_x dx |x\rangle\langle x|$ because $x$ was over $R$, I guess you may consider that's where it comes from. Jul 16 answered Dyson Series Iteration - Gives Exact Solution? Jul 16 revised Confusion with identity operator added 24 characters in body Jul 16 answered Confusion with identity operator Jul 16 answered Integral as summation in quantum mechanics Jul 14 answered Do objects besides strings, ropes, and rods have tension? Jul 14 answered Lorentz transformations: new actual notation for a $4$-vector Jul 9 accepted How to prove the law of equal action and reaction? Jul 7 comment How to prove the law of equal action and reaction? But as you pointed out, if the force is conserved, we can show the law of equal action and reaction as a "result". Is there way to bypass the restriction in unconserved cases? I mean, the definition of force was independent of the "law" itself. Jul 7 comment How to prove the law of equal action and reaction? Thank you. $F=ma$ was known, I want to prove that $F_{ba}$ exist and that $F_{ba}=-F_{ab}$. Jul 7 asked How to prove the law of equal action and reaction? Jun 30 awarded Organizer Jun 30 answered Rotation of Rigid body Jun 20 accepted Why do some people write the gravitational force as proportional to $\mathbf{r}/|\mathbf{r}|^3$? Jun 19 awarded Popular Question Jun 19 asked Why do some people write the gravitational force as proportional to $\mathbf{r}/|\mathbf{r}|^3$?