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Compact classical systems: so(n) systems (1992)

Fawcett, R. J. B.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 2126-2137

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Compact quantum systems based on compact kinematical Lie algebras have been described previously [J. Math. Phys. 29, 1521 (1988)]. A "compact classical system'' is obtained as the classical limit of such a compact quantum system. In this paper, compact classical systems obtained in this way from compact quantum systems based on the special orthogonal Lie algebras so(n) are considered; in particular, those based on so(3) and so(4). Such compact classical systems are shown to exhibit behavior strikingly different from that of corresponding noncompact systems in ordinary classical Hamiltonian dynamics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529980

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