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19992026
most citedSolitary Wave Dynamics in an External Potential

178 citations · 981 across the 75 of their papers we have counts for

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Showing 2012 · math-phShow all

6 papers · 2 filters

math-ph2012★ 9 cited

Hamiltonian dynamics of a particle interacting with a wave field

Daniel Egli, Jürg Fröhlich, Zhou Gang +2

We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. So…

math-ph2012

On Rayleigh scattering in non-relativistic quantum electrodynamics

Jeremy Faupin, Israel Michael Sigal

In this note we provide details of the proofs of the main results of our paper [19] to the standard model of non-relativistic quantum electrodynamics in which particles are minimal…

math-ph2012★ 8 cited

Comment on the photon number bound and Rayleigh scattering

Jeremy Faupin, Israel Michael Sigal

We discuss photon number bounds for a system of non-relativistic particles coupled to the quantized electromagnetic field (non-relativistic QED), below the ionization threshold. Su…

math-ph2012

Long Range Behaviour of van der Waals Force

Ioannis Anapolitanos, Israel Michael Sigal

We prove van der Waals - London's law of decay of the van der Waals force for a collection of neutral atoms at large separation.

math-ph2012★ 7 cited

On quantum Huygens principle and Rayleigh scattering

Jeremy Faupin, Israel Michael Sigal

We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of thes…

math-ph2012★ 32 cited

Effective dynamics of an electron coupled to an external potential in non-relativistic QED

Volker Bach, Thomas Chen, Jeremy Faupin +2

In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass i…