• Solution of an analogous Schrödinger equation for $\mathcal{PT}$-symmetric sextic potential in two dimensions

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0349-0361

• # Keywords

Schrödinger equation; complex Hamiltonian; $\mathcal{PT}$ symmetry; eigenvalues and eigenfunctions.

• # Abstract

We investigate the quasi-exact solutions of an analogous Schrödinger wave equation for two-dimensional non-Hermitian complex Hamiltonian systems within the framework of an extended complex phase space characterized by $x = x_{1} + ip_{3}$, $y = x_{2} + ip_{4}$, $p_{x} = p_{1} + ix_{3}$, $p_{y} = p_{2} + ix_{4}$. Explicit expressions for the energy eigenvalues and eigenfunctions for ground and first excited states of a two-dimensional $\mathcal{PT}$-symmetric sextic potential and some of its variants are obtained. The eigenvalue spectra are found to be real within some parametric domains.

• # Author Affiliations

1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India
2. Department of Physics, Ch. Devi Lal University, Sirsa 125 055, India

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019