Solvable analogue of the imaginary cubic oscillator
Quantum Physics
2026-01-30 v1
Abstract
We prove that the purely imaginary square well generates an infinite number of bound states with real energies. In the strong-coupling limit, our exact PT symmetric solutions coincide, utterly unexpectedly, with their textbook, well known Hermitian predecessors.
Cite
@article{arxiv.quant-ph/0103115,
title = {Solvable analogue of the imaginary cubic oscillator},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/0103115},
year = {2026}
}
Comments
10 pages, 1 figure