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Time Independent Perturbation Theory Perturbation Theory is developed to deal with small corrections to problems which we have solved exactly, like the harmonic arXiv:math-ph/0303051v8 7 Jun 2004 Perturbation Theory and Control in Classical or Quantum Mechanics by an Inversion Formula Michel VITTOT Centre de Physique Th

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Appendix A Time{Independent Perturbation Theory References † Davydov - Quantum Mechanics, Ch. 7. † Morse and Feshbach, Methods of Theoretical Physics, Ch. 9. Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and

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Time-dependent perturbation theory in quantum mechanics is divergent at long times when the perturbation induces a resonance between two eigenstates of the Appendix A Time{Independent Perturbation Theory References † Davydov - Quantum Mechanics, Ch. 7. † Morse and Feshbach, Methods of Theoretical Physics, Ch. 9.

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