ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Invariants in 3D for Classical Superintegrable Systems in Complex Phase Space

Discontinuity, Nonlinearity, and Complexity 1(4) (2012) 399--407 | DOI:10.5890/DNC.2012.07.004

Jasvinder Singh Virdi$^{1}$; S.C. Mishra$^{2}$

$^{1}$ Department of Physics, Panjab University, Chandigarh-160014, INDIA

$^{2}$ Department of Physics, Kurukshetra University, Kurukshetra-136119, INDIA

Abstract

Physical dynamical systems in higher dimensions are always interesting. In this context we present here the possibility of its three-dimensional complex dynamical invariant in extended complex phase space(ECPS). Lie algebraic method is used to study three-dimensional 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 non-hermitian Hamiltonian systems.

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