Exact Diagonalisation of The XY-Hamiltonian of Open Linear Chains with Periodic Coupling Constants and Its Application to Dynamics of One-Dimensional Spin Systems
Feldman, K. E.
arXiv, 0510070 / Harvested from arXiv
Text on arXiv
A new method of diagonalisation of the XY-Hamiltonian of inhomogeneous open linear chains with periodic (in space) changing Larmor frequencies and coupling constants is developed. As an example of application, multiple quantum dynamics of an inhomogeneous chain consisting of 1001 spins is investigated. Intensities of multiple quantum coherences are calculated for arbitrary inhomogeneous chains in the approximation of the next nearest interactions. {\it Key words:} linear spin chain, nearest--neighbour approximation, three--diagonal matrices, diagonalisation, fermions, multiple--quantum NMR, multiple--quantum coherence, intensities of multiple--quantum coherences. {\it PACS numbers:} 05.30.-d; 76.20.+q
Publié le : 2005-10-11
Classification:  Quantum Physics,  Condensed Matter - Other Condensed Matter,  Mathematical Physics 
@article{0510070,
     author = {Feldman, K. E.},
     title = {Exact Diagonalisation of The XY-Hamiltonian of Open Linear Chains with
  Periodic Coupling Constants and Its Application to Dynamics of
  One-Dimensional Spin Systems},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510070}
}

Feldman, K. E. Exact Diagonalisation of The XY-Hamiltonian of Open Linear Chains with
  Periodic Coupling Constants and Its Application to Dynamics of
  One-Dimensional Spin Systems. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510070/