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  • Articles: DFG German National Licenses  (2)
  • PACS. 75.50.Xx Molecular magnets – 75.30.Ds Spin waves  (1)
  • Teller effect  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Finite size corrections within the continuum limit for quantum spins: two-magnon bound states in 1D Heisenberg ferromagnet (2001)
    Springer
    The European physical journal 21 (2001), S. 511-519 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.50.Xx Molecular magnets – 75.30.Ds Spin waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A continuum medium approach is proposed to describe the finite size dependent effects for the 1D isotropic Heisenberg ferromagnet. The results are compared to the exact Bethe ansatz solution for the finite chain. The approach is shown to adequately account for the behaviour of the eigenfunctions and eigenenergies. The continuum is obtained by integration in Fourier space via introduction of cut-offs at the integration limits and analytical continuation from the discrete lattice to the continuous medium. It offers a new perspective on the instability of bound states, and reveals the linear behaviour of the amplitude in the critical region and other features of the model in an analytical way. We further apply this approach to investigate the long wavelength expansion of the master equation and to show the route of constructing reliable approximations valid for more complicated models. It is concluded that the approach can be useful to study mesoscopic spin systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170161
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Isostationary functions for multimode and multilevel Jahn-Teller systems (1996)
    Springer
    Theoretica chimica acta 94 (1996), S. 205-212 
    Details
    ISSN: 0040-5744
    Keywords: Key words: Jahn ; Teller effect ; Potential energy surface
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary.  The method of isostationary functions, first introduced for linear Jahn–Teller problems within a single electronic term, is generalized to multimode and multilevel problems. Analytic expressions are obtained for the case of linear vibronic coupling of a general form, including both simply and non-simply reducible groups. It is shown that the static multimode Jahn–Teller problem for non-simply reducible groups can always be reduced to an ideal single-mode problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00186442
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    Paper (German National Licenses)
    Fulltext
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