Path-between two points $a$ and $b$ very close together-how the
Infinitesimal section of path also has a curve such that it has a The whole path gives a minimum can be stated also by saying that an “So every subsection of the path must also be a minimum. With just that piece of the path and make the whole integral a little It can’t be that the partįrom $a$ to $b$ is a little bit more. Section from $a$ to $b$ is also a minimum. Is a minimum, it is also necessary that the integral along the little Now if the entire integral from $t_1$ to $t_2$ Space and time, and also through another nearby point $b$ That we have the true path and that it goes through some point $a$ in Let’s take only one dimension, so we can plot the graph of $x$ as aįunction of $t$. The following: Consider the actual path in space and time. Laws when there is a least action principle of this kind. Now, I would like to explain why it is true that there are differential In the case of light, we talked about the connection of these two. Way along the path, and the other is a grand statement about the whole Whole path-and of a law which says that as you go along, there is aįorce that makes it accelerate. There is quite aĭifference in the characteristic of a law which says a certain integralįrom one place to another is a minimum-which tells something about the “Now I want to say some things on this subject which are similar to theĭiscussions I gave about the principle of least time. Theory of relativistic motion of a single particle in an All electric and magnetic fields are given in Of course, we are then including onlyĮlectromagnetic forces. Then instead of just the potential energy, we haveĪn integral over the scalar potential $\phi$ and over $\FLPv$ times “Now we need the potential $V$ at $\underline$. Mike The Feynman Lectures on Physics New Millennium Edition Your time and consideration are greatly appreciated. So, if you can, after enabling javascript, clearing the cache and disabling extensions, please open your browser's javascript console, load the page above, and if this generates any messages (particularly errors or warnings) on the console, then please make a copy (text or screenshot) of those messages and send them with the above-listed information to the email address given below.īy sending us information you will be helping not only yourself, but others who may be having similar problems accessing the online edition of The Feynman Lectures on Physics. This type of problem is rare, and there's a good chance it can be fixed if we have some clues about the cause. which operating system you are using (including version #).which browser you are using (including version #).If it does not open, or only shows you this message again, then please let us know: So, please try the following: make sure javascript is enabled, clear your browser cache (at least of files from ), turn off your browser extensions, and open this page: If you use an ad blocker it may be preventing our pages from downloading necessary resources. If you have have visited this website previously it's possible you may have a mixture of incompatible files (.js. In order to read the online edition of The Feynman Lectures on Physics, javascript must be supported by your browser and enabled. There are several reasons you might be seeing this page.
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