We discuss the problems involved in deriving correct quasi-continuum approximations of Hamiltonians describing the motion of dense lattices directly from the underlying discrete Hamiltonian. This assures that the resulting equations of motion have a Hamiltonian structure and are free from ultra-violet instabilities.
|Number of pages||14|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - 5 May 2003|