5 papers · 1 filter
The Quantum-mechanical Many Body Problem: The Bose Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
This article gives a detailed presentation of the authors' recent results on the ground state properties of the Bose gas. It is a much expanded version of a talk given by one of th…
The Ground State of the Bose Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, , can be examined experimentally it is appropriate to revisit some of th…
The Mathematical Structure of the Second Law of Thermodynamics
Elliott H. Lieb, Jakob Yngvason
The essence of the second law of classical thermodynamics is the `entropy principle' which asserts the existence of an additive and extensive entropy function, S, that is defined f…
Quantum dots. A survey of rigorous results
Jakob Yngvason
The paper reviews rigorous results about quantum dots, in particular exact solutions for few electron dots and limit theorems for high magnetic fields and/or high electron number.
A Guide to Entropy and the Second Law of Thermodynamics
Elliott H. Lieb, Jakob Yngvason
This article is a short version of a longer article to appear in Physics Reports (cond-mat/9708200). The essential postulates of classical thermodynamics are formulated, from which…