On recurrence relations for radial wave functions for the -th dimensional oscillators and hydrogenlike atoms: analytical and numerical study.
On representations of Lie algebras of a generalized Tavis-Cummings model.
On rotation and vibration motions of molecules
On some periodic Hartree-type models for crystals
On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields
Hydrogen atoms placed in external fields serve as a paradigm of a strongly coupled multidimensional Hamiltonian system. This system has been already very extensively studied, using experimental measurements and a wealth of theoretical methods. In this work, we apply the Morales-Ramis theory of non-integrability of Hamiltonian systems to the case of the hydrogen atom in perpendicular (crossed) static electric and magnetic uniform fields.
On the classification of the Lie algebras .
On the current of large atoms in strong magnetic fields
In this talk I will discuss recent results on the magnetisation/current of large atoms in strong magnetic fields. It is known from the work (E. Lieb, J.P. Solovej, and J. Yngvason, “Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions”, Commun. Math. Phys. (1994), no. 161, 77-124) of Lieb, Solovej and Yngvason that the energy and density of atoms in strong magnetic fields are given to highest order by a Magnetic Thomas Fermi theory (MTF-theory) when the magnetic field strength...
On the degenerate multiplicity of the loop algebra for the 6V transfer matrix at roots of unity.
On the essential spectrum of the Jansen-Hess operator for two-electron ions.
On the Hawking wormhole horizon entropy.
On the infrared problem in a model of scalar electrons and massless, scalar bosons
On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
We consider the 3D quantum BBGKY hierarchy which corresponds to the -particle Schrödinger equation. We assume the pair interaction is . For the interaction parameter , we prove that, provided an energy bound holds for solutions to the BBKGY hierarchy, the limit points satisfy the space-time bound conjectured by S. Klainerman and M. Machedon [45] in 2008. The energy bound was proven to hold for in [28]. This allows, in the case , for the application of the Klainerman–Machedon uniqueness theorem...
On the leading correction of the Thomas-Fermi model: Lower bound.
On the point limit of the Pauli-Fierz model
On the quantal nature of the Coulomb field
It is shown that the total electric charge, as determined from the Gauss law, is a quantum object. The argument is based on elementary considerations concerning the number of photons, which should be large in a classical situation.
On the thermodynamic limit for Hartree–Fock type models
Operator gauge symmetry in QED.
Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential.
Perturbative treatment of the evolution operator associated with Raman couplings.
Photoemissive sources and quantum stochastic calculus