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.
Kato,Perturbation Theory for Linear Operators, 2nd ed., Classics in Mathematics (Springer, Berlin, Heidelberg, 1995) pp
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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.