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On the ordering of energy levels in homogeneous magnetic fields
Bernhard Baumgartner, Robert Seiringer
We study the energy levels of a single particle in a homogeneous magnetic field and in an axially symmetric external potential. For potentials that are superharmonic off the centra…
Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula
Robert Seiringer
Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The gro…
Atoms with bosonic "electrons" in strong magnetic fields
Bernhard Baumgartner, Robert Seiringer
We study the ground state properties of an atom with nuclear charge and bosonic ``electrons'' in the presence of a homogeneous magnetic field . We investigate the mean f…
On the maximal ionization of atoms in strong magnetic fields
Robert Seiringer
We give upper bounds for the number of spin 1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We us…
A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limi…