Solvable analogue of the imaginary cubic oscillator

Details Solvable analogue of the imaginary cubic oscillator Solvable analogue of the imaginary cubic oscillator

2001-03-20

arxiv.org/abs/quant-ph/0103115v1

Physics

Quantum Physics

10 pages, 1 figure

Scientific paper

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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