Ground states of fermions on lattices

DOI10.1007/BF02506423zbMath0866.46049MaRDI QIDQ2364992

Taku Matsui

Publication date: 21 July 1997

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

zbMATH Keywords

variational principlelong range interactionsinteger latticesCAR algebrainfinite volume ground statesFermion systemsexistence of dynamicsground state conditionsHamiltonian with a chemical potential

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Applications of functional analysis in quantum physics (46N50)

Related Items (6)

Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain ⋮ De Finetti theorem on the CAR algebra ⋮ Translation invariant pure state on \(\bigotimes _{\mathbb {Z}}M_d(\mathbb C)\) and Haag duality ⋮ EQUILIBRIUM STATISTICAL MECHANICS OF FERMION LATTICE SYSTEMS ⋮ Disordered fermions on lattices and their spectral properties ⋮ Translation invariant pure state on B=⊗j∈ZMd(j)(C) and its split property

Cites Work

• Gibbs measures and phase transitions
• Symmetry and equilibrium states
• On the generators of quantum dynamical semigroups
• Ground states of quantum spin systems
• Superderivations and symmetric Markov semigroups
• Ergodicity of quantum cellular automata.
• Ergodic theorems for coupled random walks and other systems with locally interacting components
• MARKOV SEMIGROUPS ON UHF ALGEBRAS
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