• Complex dynamical invariants for two-dimensional complex potentials

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 94, 2020
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019