PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes

TL;DR

This paper demonstrates the application of the PSLET method to PT-symmetric non-Hermitian potentials, specifically constructing bound states for complex oscillators like the imaginary cubic and related potentials.

Contribution

It introduces the use of the pseudo-perturbation shifted-l expansion technique (PSLET) in PT-symmetric quantum mechanics for the first time.

Findings

Successfully constructed bound states for PT-symmetric potentials

Extended PSLET applicability to complex oscillators

Provided insights into spectral properties of imaginary cubic oscillators

Abstract

The pseudo-perturbation shifted-l expansion technique PSLET is shown applicable in the non-Hermitian PT-symmetric context. The construction of bound states for several PT-symmetric potentials is presented, with special attention paid to V(r) = ir^3-alpha sqrt(ir) oscillators.