Quantum mechanics in a discrete space-time

摘要: Abstract A complete description of quantum kinematics in the sense Mackey and Weyl is presented for class systems whose underlying configuration spaces are finite sets equipped with structure Abelian groups. For a given group there unique unitarily equivalent, irreducible imprimitivity finite-dimensional Hilbert space. Schwinger's tensor product decomposition extended to this systems. The analogue Galilei over space-time lattice yields discrete time evolution operator which proposed be free Hamiltonian.