• Eigenvalue spectra of a $\mathcal{PT}$ -symmetric coupled quartic potential in two dimensions

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/075/04/0599-0605

• # Keywords

Schrödinger equation; ground state; excited state; $\mathcal{PT}$-symmetry; eigen-values; eigenfunctions.

• # Abstract

The Schrödinger equation was solved for a generalized $\mathcal{PT}$-symmetric quartic potential in two dimensions. It was found that, under a suitable ansatz for the wave function, the system possessed real and discrete energy eigenvalues. Analytic expressions for the energy eigenvalues and the eigenfunctions for the first four states were obtained. Some constraining relations among the wave function parameters rendered the problem quasi-solvable.

• # Author Affiliations

1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India
2. Department of Physics, TERI, Kurukshetra 136 119, India

• # Pramana – Journal of Physics

Volume 96, 2022
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019