Solvable analogue of the imaginary cubic oscillator

2001/03/20 by Znojil, Miloslav
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.quant-ph/0103115

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.

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