On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field

DOI10.1016/S0375-9601(01)00476-5zbMath0971.82029arXivquant-ph/0107063OpenAlexW3103796322MaRDI QIDQ5942423

Ali Mostafazadeh

Publication date: 29 August 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0107063

zbMATH Keywords

rotational invarianceinternal spin interactionsspin Hamiltonians

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (7)

Intertwining operator in nonlinear pseudo-supersymmetry ⋮ The pseudo Hermitian invariant operator and time-dependent non-Hermitian Hamiltonian exhibiting a SU(1,1) and SU(2) dynamical symmetry ⋮ Quantum mechanics of Klein--Gordon-type fields and quantum cosmology. ⋮ Real description of classical Hamiltonian dynamics generated by a complex potential ⋮ Linear representation of energy-dependent Hamiltonians ⋮ Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians ⋮ Pseudo-supersymmetry and third order intertwining operator

Cites Work

• Invariant Hermitian operator and geometric phase for the Heisenberg spin system in a time-dependent magnetic field
• Formal exact solution for the Heisenberg spin system in a time-dependent magnetic field and Aharonov-Anandan phase.
• Time evolution of quantum systems with time-dependent Hamiltonian and the invariant Hermitian operator
• Noncyclic geometric phase and its non-Abelian generalization
• Exact Quantization Conditions. II

This page was built for publication: On the dynamical invariants and the geometric phases for a general spin system in a changing magnetic field