Analysis of the Miller–Good Method for Approximating Bound States

Philip Pechukas · The Journal of Chemical Physics · 1971

The “Miller–Good method” is a collection of semiclassical approximations based on a representation which emphasizes the invariance in general form of a wavefunction under changes in the Hamiltonian of which it is an eigenstate. We prove the validity of the Miller–Good representation, discuss its properties, and study the physical and mathematical content of three semiclassical schemes which employ it.

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