• Quantum mechanics of $PT$ and non-$PT$ -symmetric potentials in three dimensions

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/087/01/0010

• # Abstract

With a view of exploring new vistas with regard to the nature of complex eigenspectra of a non-Hermitian Hamiltonian, the quasi-exact solutions of the Schrödinger equation are investigated for a shifted harmonic potential under the framework of extended complex phase-space approach. Analyticity property ofthe eigenfunction alone is found sufficient to throw light on the nature of the eigenvalues and eigenfunctions of a system. Explicit expressions of eigenvalues and eigenfunctions for the ground state as well as excited state including their $PT$-symmetric version are worked out.

• # Author Affiliations

1. Department of Physics, Chaudhary Devi Lal University, Sirsa 125 055, India
2. Department of Applied Sciences, Chandigarh Engineering College, Landran, Mohali 140 307, India
3. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

• # Pramana – Journal of Physics

Volume 97, 2023
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019