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Stability of quantum spins in a magnetic field
Author(s) -
Burić N.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200390002
Subject(s) - semiclassical physics , spins , hamiltonian (control theory) , physics , quantum , perturbation (astronomy) , quantum mechanics , magnetic field , hamiltonian system , quantum system , classical mechanics , mathematical physics , mathematics , condensed matter physics , mathematical optimization
Continuous representations of the dynamical $SU(2)$ group, and the corresponding generalized coherent states, are used to conjugate dynamics of a system of quantum spins to that of a classical Hamiltonian system. Stability of the Hamiltonian system obtained are studied, using linear stability analyses and results from the perturbation theory. Quantum evolution of any of the compound‐spins components is described exactly by classical Hamilton's equations. No semiclassical asymptotics in the analyses or explicit time‐dependence has been involved.