WKB approach applied to 1D time-dependent nonlinear Hamiltonian oscillators
Papamikos, Georgios ; Robnik, Marko, 1954-
We present a simple WKB-like approach to obtain approximate analytic solutionsto a certain class of time-dependent nonlinear 1D Hamiltonian oscillators. The case of homogeneous power-law potentials ...is solved explicitlyin a closed form in the leading order. The accuracy of the approximation is surprisingly good and we illustrate it in the case of the quartic oscillator. PACS numbers: 02.30.Mv, 05.45.-a, 45.05.+x
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