Physics – General Physics
Scientific paper
2003-09-13
Physics
General Physics
12 pages,1 figure Abstract is modified, and a few substantial points missed in the first version are added
Scientific paper
It is shown that for a relativistic particle moving in an electromagnetic field its equations of motion written in a form of the second law of Newton can be reduced with the help of elementary operations to the Hamilton-Jacobi equation. The derivation is based on a possibility of transforming the equation of motion to a completely antisymmetric form. Moreover, by perturbing the Hamilton-Jacobi equation we obtain the principle of least action.\ The analogous procedure is easily extended to a general relativistic motion of a charged relativistic particle in an electromagnetic field. It sis also shown that the special-relativistic Hamilton-Jacobi equation for a free particle allows one to easily demonstrate the wave-particle duality inherent to this equation and, in addition, to obtain the operators of the four-momentum whose eigenvalues are the classical four-momentum
No associations
LandOfFree
On an Elementary Derivation of the Hamilton-Jacobi Equation from the Second Law of Newton does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On an Elementary Derivation of the Hamilton-Jacobi Equation from the Second Law of Newton, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On an Elementary Derivation of the Hamilton-Jacobi Equation from the Second Law of Newton will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-161044