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Complex Hamiltonian; exact complex integrals; $\mathcal{PT}$ -symmetry

We use rationalization method to study two-dimensional complex dynamical systems (shifted harmonic oscillator in complex plane) on the extended comples phase space (ECPS). The role and scope of the derived invatiants in the context of various physical problems are high-lighted.

Jasvinder Singh Virdi¹ S C Mishra²

1. Department of Physics, Panjab University, Chandigarh 160 014, India
2. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

Published

July 2012

Manuscript received

7 July 2011

Accepted

8 February 2012