dorsal/arxiv
View SchemaAn An exactly solvable PT symmetric potential from the Natanzon class
| Authors | G. Levai, A. Sinha, P. Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306030 |
| URL | https://arxiv.org/abs/quant-ph/0306030 |
Abstract
The ${\cal PT}$ 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 $x\to x+{\rm i}\epsilon$; 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.
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"abstract": "The ${\\cal PT}$ symmetric version of the generalised Ginocchio potential, a\nmember of the general exactly solvable Natanzon potential class is analysed and\nits properties are compared with those of ${\\cal PT}$ symmetric potentials from\nthe more restricted shape-invariant class. It is found that the ${\\cal PT}$\nsymmetric generalised Ginocchio potential has a number of properties in common\nwith the latter potentials: it can be generated by an imaginary coordinate\nshift $x\\to x+{\\rm i}\\epsilon$; its states are characterised by the\nquasi-parity quantum number; the spontaneous breakdown of ${\\cal PT}$ symmetry\noccurs at the same time for all the energy levels; and it has two\nsupersymmetric partners which cease to be ${\\cal PT}$ symmetric when the ${\\cal\nPT}$ symmetry of the original potential is spontaneously broken.",
"arxiv_id": "quant-ph/0306030",
"authors": [
"G. Levai",
"A. Sinha",
"P. Roy"
],
"categories": [
"quant-ph"
],
"title": "An An exactly solvable PT symmetric potential from the Natanzon class",
"url": "https://arxiv.org/abs/quant-ph/0306030"
},
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