• Qing-Hai Wang

      Articles written in Pramana – Journal of Physics

    • Level crossings in complex two-dimensional potentials

      Qing-Hai Wang

      More Details Abstract Fulltext PDF

      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.

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