Results concerning the rigorous justification of the effective Hamiltonians for band electrons
in the presence of weak homogeneous electric and magnetic fields are reviewed. In the …

We consider the quantum mechanical many-body problem of electrons and fixed nuclei
interacting via Coulomb forces, but with a relativistic form for the kinetic energy, namely p 2/2 …

The first edition (in German) had the prevailing character of a textbook owing to the choice of
material and the manner of its presentation. This second (translated, revised, and extended) …

The ground state energy of an atom in the presence of an external magnetic filed B (with the
electron spin-field interaction included) can be arbitrarity negative when B is arbitrarily large …

We draw connections between the field of contact topology (the study of totally non-
integrable plane distributions) and the study of Beltrami fields in hydrodynamics on …

We review some older and more recent results concerning the energy and particle
distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic …

Over the last decade, there has been considerable interest and progress in determining the
spectral properties of various operators that take relativistic effects into account, with …

H = fr; + Vc + e JB(x)2 d3x, Page 1 With M.Loss and JPSolovej in Phys. Rev. Lett. 75, 985-989
(1995) PHYSICAL REVIEW LETTERS VOLUME 75 7 AUGUST 1995 NUMBER 6 Stability of …

By develo** the method of multipliers, we establish sufficient conditions on the magnetic
field and the complex, matrix-valued electric potential, which guarantee that the …

We consider a system of finitely many nonrelativistic electrons bound in an atom or molecule
which are coupled to the electromagnetic field via minimal coupling or the dipole …