Thomas-Fermi theory for matter in a magnetic field as a limit of quantum mechanics
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Publication:806216
DOI10.1007/BF00405174zbMath0729.60114MaRDI QIDQ806216
Publication date: 1991
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions ⋮ Regularization of atomic Schrödinger operators with magnetic field ⋮ Derivation of the magnetic Euler-Heisenberg energy ⋮ Spectral confinement and current for atoms in strong magnetic fields ⋮ Stability and semiclassics in self-generated fields ⋮ Multiple Landau level filling for a large magnetic field limit of 2D fermions ⋮ Density functional theory for two-dimensional homogeneous materials with magnetic fields ⋮ Two effective models for the Dirac vacuum in electromagnetic fields
Cites Work
- Uniqueness of the self-adjoint extension of singular elliptic differential operators
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- Schrödinger operators with magnetic fields. I: General interactions
- The Thomas-Fermi theory of atoms, molecules and solids
- Thomas-fermi and related theories of atoms and molecules
