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Time‐dependent solitary solutions of the quantum‐mechanical anisotropic Heisenberg chain
Author(s) -
Freudenhammer A.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221340120
Subject(s) - spins , hamiltonian (control theory) , physics , anisotropy , quantization (signal processing) , quantum , exchange interaction , heisenberg model , quantum mechanics , basis (linear algebra) , chain (unit) , mathematical physics , condensed matter physics , mathematics , ferromagnetism , geometry , mathematical optimization , algorithm
A solitary time‐dependent solution for a linear chain of quantum‐mechanical Heisenberg spins is given. The interaction is of the anisotropic exchange type. An approximation to a one‐spin‐flip of the Hamiltonian on the basis of local spin quantization directions leads to the result that kink solutions only exist for a static kink.