activity
19922024
most citedThe Physics and Mathematics of the Second Law of Thermodynamics

539 citations · 6.8k across the 160 of their papers we have counts for

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Showing 2000 · math-phShow all

6 papers · 2 filters

math-ph2000

The Bose gas: A subtle many-body problem

Elliott H. Lieb

Now that the properties of the ground state of quantum-mechanical many-body systems (bosons) at low density, , can be examined experimentally it is appropriate to revisit some o…

math-ph2000★ 161 cited

Ground States in Non-relativistic Quantum Electrodynamics

Marcel Griesemer, Elliott H. Lieb, Michael Loss

The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground sta…

math-ph2000★ 5 cited

Thomas-Fermi Theory

Elliott H. Lieb

This is a brief review of the Thomas-Fermi ("statistical" or "density functional") theory of atoms and molecules.

math-ph2000★ 15 cited

Lieb-Thirring Inequalities

Elliott H. Lieb

This is a brief review of Lieb-Thirring inequalities for eigenvalues of the Schroedinger operator and lower bounds for the quantum mechanical kinetic energy (and some generalizatio…

math-ph2000★ 139 cited

A Fresh Look at Entropy and the Second Law of Thermodynamics

Elliott H. Lieb, Jakob Yngvason

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable s…

math-ph2000★ 30 cited

Renormalization of the Regularized Relativistic Electron-Positron Field

Elliott H. Lieb, Heinz Siedentop

We consider the relativistic electron-positron field interacting with itself via the Coulomb potential defined with the physically motivated, positive, density-density quartic inte…