Theory of Relativistic Top and Electromagnetic Interaction

概要

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The classical theory of an (generally) asymmetric relativistic top is given on the basis of a singular Lagrangian. The theory corresponds to covariant generalization of the non-relativistic theory of rigid body and leads to the relativization of Euler's equation for rigid body motion and to the standard mass formula for a top. The theory can be reinterpreted in terms of a quadrilocal model with rigidity constraints. In practice we give the theory for free case in two equivalent Lagrangian formalisms, of which the one is more flexible than the other and is employed for the extension of theory to the case when electromagnetic field is acting. This is really given in a simple and natural manner in conformity with all the standard equations for relativistic particle with internal degrees moving in electromagnetic field. The theory is put equivalently in the constrained Hamiltonian formalism. For the case when the g-factor is two the theory gains a special simplicity. Quantum theory is deferred to a subsequent paper.
理論物理学刊行会の論文
1982-02-25