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Quasi‐classical Theory and Simulations of Hydrogen‐like Quantum Plasmas
Author(s) -
Ebeling W.,
Militzer B.,
Schautz F.
Publication year - 1997
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150370205
Subject(s) - physics , hamiltonian (control theory) , pauli exclusion principle , quantum , electron , quantum monte carlo , hydrogen molecule , quantum dynamics , plasma , quantum mechanics , wave packet , monte carlo method , statistical physics , hydrogen , mathematical optimization , statistics , mathematics
First the range of validity of a quasi‐classical approach is analyzed and analytical formulae for the thermo‐dynamical potentials are derived. Then a simple quasi‐classical model for the quantum molecular dynamics of hydrogen‐like plasmas is developed. The model is based on a quasi‐classical wave packet representation and leads to effective momentum‐dependent Hamiltonians. The quantum‐mechanical effects corresponding to the Pauli and the Heisenberg principle are modeled by constraints in the Hamiltonian. Monte Carlo and Molecular Dynamics calculations are carried out for electron‐, electron‐positron‐, and for hydrogen plasmas considering ensembles of 64 – 250 particles. A comparison with the analytical formulae shows reasonable agreement.