dorsal/arxiv
View SchemaNew Exactly Solvable Isospectral Partners for PT Symmetric Potentials
| Authors | Anjana Sinha, Pinaki Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312085 |
| URL | https://arxiv.org/abs/quant-ph/0312085 |
| DOI | 10.1088/0305-4470/37/6/039 |
Abstract
We examine in detail the possibilty of applying Darboux transformation to non Hermitian hamiltonians. In particular we propose a simple method of constructing exactly solvable PT symmetric potentials by applying Darboux transformation to higher states of an exactly solvable PT symmetric potential. It is shown that the resulting hamiltonian and the original one are pseudo supersymmetric partners. We also discuss application of Darboux transformation to hamiltonians with spontaneously broken PT symmetry.
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"abstract": "We examine in detail the possibilty of applying Darboux transformation to non\nHermitian hamiltonians. In particular we propose a simple method of\nconstructing exactly solvable PT symmetric potentials by applying Darboux\ntransformation to higher states of an exactly solvable PT symmetric potential.\nIt is shown that the resulting hamiltonian and the original one are pseudo\nsupersymmetric partners. We also discuss application of Darboux transformation\nto hamiltonians with spontaneously broken PT symmetry.",
"arxiv_id": "quant-ph/0312085",
"authors": [
"Anjana Sinha",
"Pinaki Roy"
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"doi": "10.1088/0305-4470/37/6/039",
"title": "New Exactly Solvable Isospectral Partners for PT Symmetric Potentials",
"url": "https://arxiv.org/abs/quant-ph/0312085"
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