Publications Influence

Share This Author

Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional

- E. Lieb, R. Seiringer, J. Yngvason
- Physics
- 26 August 1999

The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, are usually described by means of the Gross-Pitaevskii energy functional. We present… Expand

The physics and mathematics of the second law of thermodynamics (Physics Reports 310 (1999) 1–96)☆

- E. Lieb, J. Yngvason
- Physics
- 26 August 1997

The Mathematics of the Bose Gas and its Condensation

- E. Lieb, R. Seiringer, J. P. Solovej, J. Yngvason
- Physics
- 1 July 2005

The Dilute Bose Gas in 3D.- The Dilute Bose Gas in 2D.- Generalized Poincare Inequalities.- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases.- Gross-Pitaevskii Equation for Trapped… Expand

Ground State Energy of the Low Density Bose Gas

- E. Lieb, J. Yngvason
- Physics
- 12 December 1997

Now that the properties of low temperature Bose gases at low density, ρ, can be examined exprimentally it is appropriate to revisit some of the formulas deduced by many authors four to five decades… Expand

The entropy concept for non-equilibrium states

- E. Lieb, J. Yngvason
- PhysicsProceedings of the Royal Society A: Mathematical…
- 16 May 2013

TLDR

Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions

- E. Lieb, J. P. Solovej, J. Yngvason
- Physics, Mathematics
- 1 March 1994

The ground state energy of an atom of nuclear chargeZe in a magnetic fieldB is exactly evaluated to leading order asZ→∞ in the following three regions:B≪Z4/3,B≈Z4/3 andZ4/3≪B≪Z3. In each case this is… Expand

String-Localized Quantum Fields and Modular Localization

- J. Mund, B. Schroer, J. Yngvason
- Physics, Mathematics
- 11 November 2005

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincaré group and localized in semi-infinite strings extending to spacelike infinity.… Expand

Integral representations for Schwinger functionals and the moment problem over nuclear spaces

- H. Borchers, J. Yngvason
- Mathematics
- 1 August 1975

It is shown that a continuous positive linear functional on a commutative nuclear *-algebra has an integral decomposition into characters if and only if the functional is strongly positive, i.e.… Expand

A Fresh Look at Entropy and the Second Law of Thermodynamics

- E. Lieb, J. Yngvason
- Physics
- 24 March 2000

In days long gone, the second law of thermodynamics (which predated the first law) was regarded as perhaps the most perfect and unassailable law in physics. It was even supposed to have philosophical… Expand

A Rigorous Derivation¶of the Gross–Pitaevskii Energy Functional¶for a Two-dimensional Bose Gas

- E. Lieb, R. Seiringer, J. Yngvason
- Physics
- 1 May 2000

Abstract: We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when… Expand

...

1

2

3

4

5

...