The ground state energy of a classical gas

DOI10.1007/BF01403881zbMath0946.82501OpenAlexW2061504657MaRDI QIDQ1575106

Joseph G. Conlon

Publication date: 3 October 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01403881

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

Stability of Relativistic Matter with Magnetic Fields ⋮ Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule ⋮ The Chandrasekhar theory of stellar collapse as the limit quantum mechanics ⋮ The stability of matter: from atoms to stars ⋮ A probabilistic principle and generalized Schrödinger perturbation ⋮ Schrödinger operators in the twentieth century ⋮ The stability and instability of relativistic matter ⋮ Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions ⋮ Stability and instability of relativistic electrons in classical electromagnetic fields ⋮ Stability of Relativistic Matter with Magnetic Fields ⋮ Bounds on diatomic molecules in a relativistic model ⋮ Stability of Matter in Magnetic Fields ⋮ A proof of Scott's correction for matter ⋮ The large-Z Behavior of pseudorelativistic atoms

Cites Work

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• The thermodynamic limit for jellium
• An uncertainty principle for fermions with generalized kinetic energy
• One-electron relativistic molecules with Coulomb interaction
• The uncertainty principle
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Stability of Matter. I
• Stability of Matter. II

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