Unitary dressing transformations and exponential decay below threshold for quantum spin systems. I, II

DOI10.1007/BF02102087zbMath0708.58022OpenAlexW4248506709MaRDI QIDQ920455

Claudio Albanese

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02102087

zbMATH Keywords

quantum spin systemsunitary dressing transformation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Mott transition and sign problem for a model of lattice fermions ⋮ Ground states in relatively bounded quantum perturbations of classical lattice systems ⋮ The spectral gap for some spin chains with discrete symmetry breaking ⋮ The adiabatic approximation for quantum spin systems with a spectral gap ⋮ The Lie algebroid Poisson sigma model ⋮ Unitary dressing transformations and exponential decay below threshold for quantum spin systems. III, IV ⋮ Automorphic equivalence within gapped phases of quantum lattice systems ⋮ Local perturbations perturb—exponentially–locally

Cites Work

• Scalar particles in a narrow-band periodic potential
• On the spectrum of the Heisenberg Hamiltonian
• Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial difference equations. II