J S Virdi
Articles written in Pramana – Journal of Physics
Volume 79 Issue 2 August 2012 pp 173-183
Complex dynamical invariants for two-dimensional complex potentials
J S Virdi F Chand C N Kumar S C Mishra
Complex dynamical invariants are searched out for two-dimensional complex potentials using rationalization method within the framework of an extended complex phase space characterized by $x = x_{1} + ip_{3}. y = x_{2} + ip_{4}, p_{x} = p_{1} + ix_{3}, p_{y} = p_{2} + ix_{4}$. It is found that the cubic oscillator and shifted harmonic oscillator admit quadratic complex invariants. THe obtained invariants may be useful for studying non-Hermitian Hamiltonian systems.
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