23 citations · 57 across the 3 of their papers we have counts for
4 papers
Spontaneous decay of resonant energy levels for molecules with moving nuclei
Stefan Teufel, Jakob Wachsmuth
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 f…
Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section
Jonas Lampart, Stefan Teufel, Jakob Wachsmuth
We show how to translate recent results on effective Hamiltonians for quantum systems constrained to a submanifold by a sharply peaked potential to quantum systems on thin Dirichle…
Constrained Quantum Systems as an Adiabatic Problem
Jakob Wachsmuth, Stefan Teufel
We derive the effective Hamiltonian for a quantum system constrained to a submanifold (the constraint manifold) of configuration space (the ambient space) in the asymptotic limit w…
Effective Hamiltonians for Constrained Quantum Systems
Jakob Wachsmuth, Stefan Teufel
We consider the time-dependent Schrödinger equation on a Riemannian manifold with a potential that localizes a certain class of states close to a fixed submanifold $\…