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Deriving Spin within a discrete-time theory

Erasmo Recami·Giovanni Salesi
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Abstract

We prove that the classical theory with a discrete time (chronon) is a particular case of a more general theory in which spinning particles are associated with generalized Lagrangians containing time-derivatives of any order (a theory that has been called "Non-Newtonian Mechanics"). As a consequence, we get, for instance, a classical kinematical derivation of Hamiltonian and spin vector for the mentioned chronon theory (e.g., in Caldirola et al.'s formulation).

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Erasmo Recami, Giovanni Salesi. 2005-12-14. Deriving Spin within a discrete-time theory. https://doi.org/10.1007/s10701-006-9101-9

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