Relativistic addition of interactions in constraint Hamiltonian mechanics |
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Authors: | S I Bidikov I T Todorov |
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Institution: | (1) Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgary |
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Abstract: | The problem of constructing separable N-particle interactions for given two-body forces in the constraint Hamiltonian approach to relativistic classical mechanics
is tackled in two different ways. A formal expression for the N-particle constraints is given in terms of a classical wave operator. An (independent) iterative scheme for these constraints
is carried out. Explicit formulas for the three-particle interactions are written down, accurate up to second order in the
two-body coupling constants and symmetric with respect to particle permutations. |
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Keywords: | |
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