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The Mathematics of the Bose Gas and its Condensation
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
This book surveys results about the quantum mechanical many-body problem of the Bose gas that have been obtained by the authors over the last seven years. These topics are relevant…
Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
M. Aizenman, E. H. Lieb, R. Seiringer +2
One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state compose…
Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
Michael Aizenman, Elliott H. Lieb, Robert Seiringer +2
Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomeno…
Ground State Energy of the One-Component Charged Bose Gas
Elliott H. Lieb, Jan Philip Solovej
The model considered here is the `jellium' model in which there is a uniform, fixed background with charge density in a large volume and in which particles of elec…
Stability of Relativistic Matter With Magnetic Fields
Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej
Stability of matter with Coulomb forces has been proved for non-relativistic dynamics, including arbitrarily large magnetic fields, and for relativistic dynamics without magnetic f…
Stability of Matter in Magnetic Fields
Elliott Lieb
The proof of the stability of matter is three decades old, but the question of stability when arbitrarily large magnetic fields are taken into account was settled only recently. Ev…