Search Results - "Lieb, Elliott H."

The entropy concept for non-equilibrium states by Lieb, Elliott H., Yngvason, Jakob

“…In earlier work, we presented a foundation for the second law of classical thermodynamics in terms of the entropy principle. More precisely, we provided an…”
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Proof of an entropy conjecture for Bloch coherent spin states and its generalizations by Lieb, Elliott H., Solovej, Jan Philip

“…Wehrl used Glauber coherent states to define a map from quantum density matrices to classical phase space densities and conjectured that for Glauber coherent…”
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Possible lattice distortions in the hubbard model for graphene by Frank, Rupert L, Lieb, Elliott H

“…The Hubbard model on the honeycomb lattice is a well-known model for graphene. Equally well known is the Peierls type of instability of the lattice bond…”
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Floating Wigner crystal with no boundary charge fluctuations by Lewin, Mathieu, Lieb, Elliott H., Seiringer, Robert

“…We modify the "floating crystal" trial state for the classical Homogeneous Electron Gas (also known as Jellium), in order to suppress the boundary charge…”
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Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit by Lieb, Elliott H., Seiringer, Robert

“…We consider the Fröhlich model of a polaron, and show that its effective mass diverges in the strong coupling limit…”
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Local incompressibility estimates for the Laughlin phase by Lieb, Elliott H., Rougerie, Nicolas, Yngvason, Jakob

“…We prove sharp density upper bounds on optimal length-scales for the ground states of classical 2D Coulomb systems and generalizations thereof. Our method is…”
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Exact Results for Itinerant Ferromagnetism in Multiorbital Systems on Square and Cubic Lattices by Li, Yi, Lieb, Elliott H., Wu, Congjun

“…We study itinerant ferromagnetism in multiorbital Hubbard models in certain two-dimensional square and three-dimensional cubic lattices. In the strong coupling…”
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Rigidity of the Laughlin Liquid by Lieb, Elliott H., Rougerie, Nicolas, Yngvason, Jakob

“…We consider general N -particle wave functions that have the form of a product of the Laughlin state with filling factor 1 / ℓ and an analytic function of the…”
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Nematic Liquid Crystal Phase in a System of Interacting Dimers and Monomers by Jauslin, Ian, Lieb, Elliott H.

“…We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this…”
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Improved Lieb–Oxford bound on the indirect and exchange energies by Lewin, Mathieu, Lieb, Elliott H., Seiringer, Robert

“…The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle…”
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Entropy meters and the entropy of non-extensive systems by Lieb, Elliott H., Yngvason, Jakob

“…In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states, we stressed the importance of being…”
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Maximizers for the Stein–Tomas Inequality by Frank, Rupert L., Lieb, Elliott H., Sabin, Julien

“…We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein–Tomas inequality. In particular, if a well-known…”
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A Pfaffian Formula for Monomer–Dimer Partition Functions by Giuliani, Alessandro, Jauslin, Ian, Lieb, Elliott H.

“…We consider the monomer–dimer partition function on arbitrary finite planar graphs and arbitrary monomer and dimer weights, with the restriction that the only…”
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Derivation of the gross-pitaevskii equation for rotating bose gases by LIEB, Elliott H, SEIRINGER, Robert

“…We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute,…”
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On the Convolution Inequality f ≥ f ⋆ f by Carlen, Eric A, Jauslin, Ian, Lieb, Elliott H, Loss, Michael P

“…Abstract We consider the inequality $f \geqslant f\star f$ for real functions in $L^1({\mathbb{R}}^d)$ where $f\star f$ denotes the convolution of $f$ with…”
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Some operator and trace function convexity theorems by Carlen, Eric A., Frank, Rupert L., Lieb, Elliott H.

“…We consider trace functions (A,B)↦Tr[(Aq/2BpAq/2)s] where A and B are positive n×n matrices and ask when these functions are convex or concave. We also…”
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Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator by Carlen, Eric A., Frank, Rupert L., Lieb, Elliott H.

“…There is a family of potentials that minimize the lowest eigenvalue of a Schrödinger operator under the constraint of a given L p norm of the potential. We…”
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Inversion positivity and the sharp Hardy–Littlewood–Sobolev inequality by Frank, Rupert L., Lieb, Elliott H.

“…We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing rearrangement it uses the reflection positivity of inversions…”
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Equivalence of Two Definitions of the Effective Mass of a Polaron by Lieb, Elliott H., Seiringer, Robert

“…Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar…”
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Periodic energy minimizers for a one-dimensional liquid drop model by Frank, Rupert L., Lieb, Elliott H.

“…We reprove a result by Ren and Wei concerning the periodicity of minimizers of a one-dimensional liquid drop model in the neutral case. Our proof works for…”
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