TY - JOUR
T1 - Hamiltonian dynamics of dense chains and lattices
T2 - Or how to correct the continuum
AU - Rosenau, Philip
N1 - Funding Information:
This work was supported by the Israel Science Foundation Contract No. 558/99-2 and was carried in part in the CNLS, supported by the US Department of Energy under contract W-7405- Eng-36.
PY - 2003/5/5
Y1 - 2003/5/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0037420850&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(03)00455-9
DO - 10.1016/S0375-9601(03)00455-9
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AN - SCOPUS:0037420850
SN - 0375-9601
VL - 311
SP - 39
EP - 52
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -