Quantum systems with finite Hilbert space

Details Quantum systems with finite Hilbert space Quantum systems with finite Hilbert space

Mar 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004rpph...67..267v&link_type=abstract

Reports on Progress in Physics, Volume 67, Issue 3, pp. 267-320 (2004).

Physics

99

Scientific paper

Quantum systems with finite Hilbert space are considered, and phase-space methods like the Heisenberg-Weyl group, symplectic transformations and Wigner and Weyl functions are discussed. A factorization of such systems in terms of smaller subsystems, based on the Chinese remainder theorem, is studied. The general formalism is applied to the case of angular momentum. In this context, SU(2) coherent states are used for analytic representations. Links between the theory of finite quantum systems and other fields of research are discussed.

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