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- Max Planck SocietyDE35 papers
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4 papers · 2 filters
Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
Dmitry Pelinovsky, Guido Schneider
We justify the validity of the discrete nonlinear Schrodinger equation for the tight-binding approximation in the context of the Gross-Pitaevskii equation with a periodic potential…
Resonances in twisted quantum waveguides
H. Kovarik, A. Sacchetti
In this paper we consider embedded eigenvalues of a Schroedinger Hamiltonian in a waveguide induced by a symmetric perturbation. It is shown that these eigenvalues become unstable…
On the Smooth Feshbach-Schur Map
M. Griesemer, D. Hasler
A new variant of the Feshbach map, called smooth Feshbach map, has been introduced recently by Bach et al., in connection with the renormalization analysis of non-relativistic quan…
On the ground state energy of the translation invariant Pauli-Fierz model
Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter +1
In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order with respect to powers of the finestructure constant…