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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

Bogoliubov Spectrum of Interacting Bose Gases

- Mathieu Lewin, P. T. Nam, S. Serfaty, J. P. Solovej
- Physics
- 12 November 2012

We study the large‐N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next… Expand

Generalized Hartree-Fock theory and the Hubbard model

- V. Bach, E. Lieb, J. P. Solovej
- Physics
- 10 December 1993

The familiar unrestricted Hartree-Fock variational principles is generalized to include quasi-free states. As we show, these are in one-to-one correspondence with the one-particle density matrices… Expand

Quantum Dots

- E. Lieb, J. P. Solovej
- Chemistry
- 1993

Quantum dots (QDs) are a unique type of nanocrystalline semiconductor whose electronic and optical properties are dependent on the size and shape of the dots. Diameters of these particles can range… Expand

A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS

- G. M. Graf, J. P. Solovej
- Physics
- 1994

We consider some two-body operators acting on a Fock space with either fermionic or no statistics. We prove that they are bounded below by one-body operators which mimic exchange effects. This allows… Expand

The kernel of Dirac operators on $\S^3$ and $\R^3$

- L. Erdős, J. P. Solovej
- Computer Science, Mathematics
- 24 January 2000

TLDR

Proof of the ionization conjecture in a reduced Hartree-Fock model

- J. P. Solovej
- Business
- 1 December 1991

SummaryThe ionization conjecture for atomic models states that the ionization energy and maximal excess charge are bounded by constants independent of the nuclear charge. We prove this for the… Expand

The BCS Functional for General Pair Interactions

- C. Hainzl, E. Hamza, R. Seiringer, J. P. Solovej
- Mathematics
- 29 March 2007

The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous… Expand

Asymptotics for Bosonic atoms

- J. P. Solovej
- Physics
- 1 August 1990

It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy the exclusion principle, the critical electron number Nc, i.e., the maximal number of electrons the atom can… Expand

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

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