Construction of C operator for a PT symmetric model

TL;DR

This paper derives a closed-form expression for the C operator in a PT symmetric quantum model and demonstrates the completeness of its eigenfunctions, advancing the understanding of PT symmetric quantum systems.

Contribution

The paper provides the first explicit construction of the C operator for the PT symmetric Scarf I potential, confirming eigenfunction completeness.

Findings

Explicit C operator expression derived

Eigenfunctions shown to be complete

Advances understanding of PT symmetric models

Abstract

We obtain closed form expression of the C(x,y) operator for the PT symmetric Scarf I potential. It is also shown that the eigenfunctions are complete.