• Corpus ID: 150373837

General solutions for quantum dynamical systems driven by time-varying Hamiltonians: applications to NMR

  title={General solutions for quantum dynamical systems driven by time-varying Hamiltonians: applications to NMR},
  author={Pierre-Louis Giscard and Christian Bonhomme},
  journal={arXiv: Quantum Physics},
Comprehending the dynamical behaviour of quantum systems driven by time-varying Hamiltonians is particularly difficult. Systems with as little as two energy levels are not yet fully understood. Since the inception of Magnus’ expansion in 1954, no fundamentally novel mathematical method for solving the quantum equations of motion with a time-varying Hamiltonian has been devised. We report here of an entirely different non-perturbative approach, termed path-sum, which is always guaranteed to… 

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