Spontaneous decay of resonant energy levels for molecules with moving nuclei
arXiv:1109.0447 · doi:10.1007/s00220-012-1547-3
Abstract
We consider the Pauli-Fierz Hamiltonian with dynamical nuclei and investigate the transitions between the resonant electronic energy levels under the assumption that there are no free photons in the beginning. Coupling the limits of small fine structure constant and of heavy nuclei allows us to prove the validity of the Born-Oppenheimer approximation at leading order and to provide a simple formula for the rate of spontaneous decay.
To appear in Commun. Math. Phys
References in corpus (5)
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Cited by in corpus (6)
- On the mathematical treatment of the Born-Oppenheimer approximation
- Semiclassical approximations for Hamiltonians with operator-valued symbols
- Adiabatic transitions in a two-level system coupled to a free Boson reservoir
- Adiabatic Lindbladian Evolution with Small Dissipators
- The Adiabatic Wigner-Weisskopf Model
- Differential Equations of Quantum Mechanics