Perturbed Hamiltonian system of two parameters with several turning points.

摘要

Consider a generalized Hamiltonian system with two parameters;A global asymptotic solution on I of this system will be studied. In particular, two methods to compute the solution of the system will be discussed. This result can be applied to the study of the adiabatic invariance property in quantum mechanics.;This study generalizes the results of H. Gingold and P. F. Hsieh of 1987 and 1989.