.. _rad-tools_magnon-dispersion-method:

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Magnon dispersion
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Method is based on the [1]_. with matrix diagonalisation via [2]_.

We believe that in original paper [1]_ there is a mistake in the derivation, 
which is discussed in much details here: :download:`magnon-dispersion.pdf <magnon-dispersion.pdf>`.


References
==========

.. [1] Toth, S. and Lake, B., 2015. 
    Linear spin wave theory for single-Q incommensurate magnetic structures. 
    Journal of Physics: Condensed Matter, 27(16), p.166002.

.. [2] Colpa, J.H.P., 1978. 
    Diagonalization of the quadratic boson hamiltonian. 
    Physica A: Statistical Mechanics and its Applications, 93(3-4), pp.327-353.