Solvable analogue of the imaginary cubic oscillator
arXiv:quant-ph/0103115 · doi:10.3390/math14030480
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.
10 pages, 1 figure