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math-ph2000
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…
math-ph2000
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…