EQUATIONS OF MOTION OF A DYNAMICAL SYSTEM OF PARTICLES.
QUEENS COLL OF THE CITY UNIV OF NEW YORK FLUSHING DEPT OF PHYSICS
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The equations of motion of a dynamical system are discussed in terms of the initial data. The point of view emphasized is that the initial data are explicitly time dependent constants of the motion, knowledge of which constitutes, implicitly, a complete solution of the equations. A general algorithm for constructing the set of constants in this form and from it, the complete solution, is given. The algorithm provides a complete, formal solution for the dynamical equations in terms of the Hamiltonian function. Author
- Quantum Theory and Relativity