Coarse-grained spin density-functional theory: Infinite-volume limit via the hyperfinite

DOI10.1063/1.4811282zbMath1285.82006arXiv1206.0769OpenAlexW3098935348MaRDI QIDQ5402307

Paul E. Lammert

Publication date: 6 March 2014

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

Full work available at URL: https://arxiv.org/abs/1206.0769

zbMATH Keywords

Lieb internal energy functionalspin density functional theory

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

A note on reflected Dirichlet forms

Cites Work

• Nonsmooth analysis
• Density functional theory. An advanced course.
• Density functional approach to quantum lattice systems
• A primer in density functional theory. Lectures from the second Coimbra school on computational physics, Caramulo Mountains, Portugal, August 28 --September 1, 2001
• Introduction to spectral theory. With applications to Schrödinger operators
• Path space measure for the 3+1-dimensional Dirac equation in momentum space
• An approach to nonstandard quantum mechanics
• Nonstandard Measure Theory and its Applications
• Pointwise analysis of scalar fields: A nonstandard approach
• Lower semicontinuhy of positive quadratic forms
• The space of state vectors: A hyperfinite approach
• Nonstandard analysis and jump conditions for converging shock waves
• Set-valued analysis
• Non-standard analysis
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