Semiclassical eigenvalues for nonseparable systems: Nonperturbative solution of the Hamilton–Jacobi equation in action‐angle variables

作者: Sally Chapman , Bruce C. Garrett , William H. Miller

DOI: 10.1063/1.432266

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摘要: It is shown how the Hamilton–Jacobi equation for a multidimensional nonseparable system can be efficiently solved directly in action‐angle variables. This allows one to construct total (classical) Hamiltonian as function of ’’good’’ variables which are complete set constants motion system; requiring action integers then provides semiclassical eigenvalues. Numerical results presented two‐dimensional potential well, and sees that eigenvalues good agreement with exact quantum mechanical values even case large coupling.

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