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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/079/02/0173-0183

    • Keywords

       

      Complex Hamiltonian; exact complex invariant.

    • Abstract

       

      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.

    • Author Affiliations

       

      J S Virdi1 F Chand2 C N Kumar1 S C Mishra2

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

    • Dates

       
      Published
      August 2012
      Manuscript received
      15 February 2011
      Manuscript revised
      23 December 2011
      Accepted
      1 March 2012

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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