Discontinuity, Nonlinearity, and Complexity
Invariants in 3D for Classical Superintegrable Systems in Complex Phase Space
Discontinuity, Nonlinearity, and Complexity 1(4) (2012) 399407  DOI:10.5890/DNC.2012.07.004
Jasvinder Singh Virdi$^{1}$; S.C. Mishra$^{2}$
$^{1}$ Department of Physics, Panjab University, Chandigarh160014, INDIA
$^{2}$ Department of Physics, Kurukshetra University, Kurukshetra136119, INDIA
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Abstract
Physical dynamical systems in higher dimensions are always interesting. In this context we present here the possibility of its threedimensional complex dynamical invariant in extended complex phase space(ECPS). Lie algebraic method is used to study threedimensional classical superintegrable system on the extended complex phase space. Such complex invariants play an important role in the analysis of complex trajectories, also study of nonhermitian Hamiltonian systems.
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