An An exactly solvable PT symmetric potential from the Natanzon class

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dc.creatorLevai, G.
dc.creatorSinha, A.
dc.creatorRoy, P.
dc.date2003-06-04
dc.date2003-06-05
dc.date.accessioned2026-07-07T06:06:55Z
dc.date.available2026-07-07T06:06:55Z
dc.descriptionThe ${\cal PT}$ symmetric version of the generalised Ginocchio potential, a member of the general exactly solvable Natanzon potential class is analysed and its properties are compared with those of ${\cal PT}$ symmetric potentials from the more restricted shape-invariant class. It is found that the ${\cal PT}$ symmetric generalised Ginocchio potential has a number of properties in common with the latter potentials: it can be generated by an imaginary coordinate shift $x\to x+{\rm i}ε$; its states are characterised by the quasi-parity quantum number; the spontaneous breakdown of ${\cal PT}$ symmetry occurs at the same time for all the energy levels; and it has two supersymmetric partners which cease to be ${\cal PT}$ symmetric when the ${\cal PT}$ symmetry of the original potential is spontaneously broken.
dc.description15 pages, 4 figures; to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0306030
dc.identifierhttp://arxiv.org/abs/quant-ph/0306030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91152
dc.subjectQuantum Physics
dc.titleAn An exactly solvable PT symmetric potential from the Natanzon class
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