• Level crossings in complex two-dimensional potentials

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0315-0322

• # Keywords

Non-Hermitian; $\mathcal{PT}$ symmetry; two-dimensional potentials.

• # Abstract

Two-dimensional $\mathcal{PT}$-symmetric quantum-mechanical systems with the complex cubic potential $V_{12} = x^{2} + y^{2} + igxy^{2}$ and the complex Hénon–Heiles potential $V_{\text{HH}} = x^{2} + y^{2} + ig(xy^{2} − x^{3}/3)$ are investigated. Using numerical and perturbative methods, energy spectra are obtained to high levels. Although both potentials respect the $\mathcal{PT}$ symmetry, the complex energy eigenvalues appear when level crossing happens between same parity eigenstates.

• # Author Affiliations

1. Department of Physics, National University of Singapore, Singapore 117542

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019