Exact Invariants for Time-Dependent Nonlinear Hamiltonian Systems

摘要

Two methods, one based on canonical transformations and one based on an assumed structure, are used to determine exact invariants for certain Hamiltonians of the type H = 1/2 p exp 2 + V(q,t). Invariants are found explicitly for a class of nonlinear, time-dependent potentials V(q,t). The former method is then developed to find exact invariants for Hamiltonians of the form H = H(q,p,rho(t),rho.