Solution of an analogous Schrödinger equation for $\mathcal{PT}$-symmetric sextic potential in two dimensions
Fakir Chand S C Mishra Ram Mehar Singh
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/073/02/0349-0361
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.
Fakir Chand1 S C Mishra1 Ram Mehar Singh2
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.