Anomalous doublets of states in a PT symmetric quantum model
classification
🪐 quant-ph
keywords
statessymmetricadmitanomalousboundcomplexifydiscoverdoublets
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We complexify one of the Natanzon's exactly solvable potentials in PT symmetric manner and discover that it supports the pairs of bound states with the same number of nodal zeros. This could indicate that the Sturm Liouville oscillation theorem does not admit an immediate generalization.
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