31 citations · 99 across the 10 of their papers we have counts for
12 papers
On boundedness of isomerization paths for non- and semirelativistic molecules
Ioannis Anapolitanos, Marco Olivieri, Sylvain Zalczer
This article focuses on isomerizations of molecules, i.e. chemical reactions during which a molecule is transformed into another one with the same atoms in a different spatial conf…
On the van der Waals interaction between a molecule and a half-infinite plate
Ioannis Anapolitanos, Mariam Badalyan, Dirk Hundertmark
We consider a molecule in the Born-Oppenheimer approximation interacting with a plate of infinite thickness, i.e, a half--space, which is perfectly conducting or dielectric. It is…
Differentiability of the van der Waals interaction between two atoms
Ioannis Anapolitanos, Mathieu Lewin, Matthias Roth
In this work we improve upon previous results on the expansion of the interaction energy of two atoms. On the one hand we prove the van der Waals-London's law, assuming that only o…
Compactness of molecular reaction paths in quantum mechanics
Ioannis Anapolitanos, Mathieu Lewin
We study isomerizations in quantum mechanics. We consider a neutral molecule composed of N quantum electrons and M classical nuclei and assume that the first eigenvalue of the corr…
Derivation of the Hartree equation for compound Bose gases in the mean field limit
Ioannis Anapolitanos, Michael Hott, Dirk Hundertmark
We consider mixtures of Bose gases of different species. We prove that in the mean field limit and under suitable conditions on the initial condition a system composed of two Bose…
A simple proof of convergence to the Hartree dynamics in Sobolev trace norms
Ioannis Anapolitanos, Michael Hott
The derivation of the Hartree equation from many-body systems of Bosons in the mean field limit has been very intensively studied in the last couple of years. However, very few res…
The Lieb--Thomas strategy for strongly coupled fermionic multipolarons with general external fields
Ioannis Anapolitanos, Michael Hott
In this article, we prove that the ground-state energy of a fermionic Fröhlich multipolaron can be approximated, in the strong electron-phonon coupling limit, by the ground-state e…
Remainder estimates for the Long Range Behavior of the van der Waals interaction energy
Ioannis Anapolitanos
The van der Waals-London's law, for a collection of atoms at large separation, states that their interaction energy is pairwise attractive and decays proportionally to one over the…
The ground state energy of the multi-polaron in the strong coupling limit
Ioannis Anapolitanos, Benjamin Landon
We consider the Fröhlich -polaron Hamiltonian in the strong coupling limit and bound the ground state energy from below. In particular, our lower bound confirms that the ground…
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.
Multipolarons in a Constant Magnetic Field
Ioannis Anapolitanos, Marcel Griesemer
The binding of a system of polarons subject to a constant magnetic field of strength is investigated within the Pekar-Tomasevich approximation. In this approximation the en…
The Hartree-von Neumann limit of many body dynamics
I. Anapolitanos, I. M. Sigal
In the mean-field regime, we prove convergence (with explicit bounds) of the many-body von Neumann dynamics with bounded interactions to the Hartree-von Neumann dynamics.