A time-dependent logarithmic perturbation theory is developed that preserves closed-integral correction expressions and recovers exact results for the driven harmonic oscillator while providing accurate observables for the driven hydrogen atom.
(III.35) Equation (III.34) can be identified with the TDSE governing the evolution of ansstate, while (III.35) describes the evolution of adstate
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Time-Dependent Logarithmic Perturbation Theory for Quantum Dynamics: Formulation and Applications
A time-dependent logarithmic perturbation theory is developed that preserves closed-integral correction expressions and recovers exact results for the driven harmonic oscillator while providing accurate observables for the driven hydrogen atom.