Home

Robert Seiringer

  1. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities.

    Thu, 10/01/2009 - 20:55 — SomNambul
    Authors: Robert Seiringer, Rupert L. Frank, Elliott H. Lieb
    Subjects: Spectral Theory
    Abstract

    We show that, under very general definitions of a kinetic energy operator
    $T$, the Lieb-Thirring inequalities for sums of eigenvalues of $T-V$ can be
    derived from the Sobolev inequality appropriate to that choice of $T$.

  2. Hot Topics in Cold Gases.

    Thu, 08/27/2009 - 13:23 — SomNambul
    Authors: Robert Seiringer
    Subjects: Mathematical Physics
    Abstract

    Since the first experimental realization of Bose-Einstein condensation in
    cold atomic gases in 1995 there has been a surge of activity in this field.
    Ingenious experiments have allowed us to probe matter close to zero temperature
    and reveal some of the fascinating effects quantum mechanics has bestowed on
    nature. It is a challenge for mathematical physicists to understand these
    various phenomena from first principles, that is, starting from the underlying
    many-body Schr\"odinger equation.

Math-arch

Syndicate content