dorsal/arxiv
View SchemaSupersymmetric Biorthogonal Quantum Systems
| Authors | Thomas Curtright, Luca Mezincescu, David Schuster |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603170 |
| URL | https://arxiv.org/abs/quant-ph/0603170 |
| DOI | 10.1063/1.2191367 |
| Journal | J.Math.Phys.48:092108,2007 |
Abstract
We discuss supersymmetric biorthogonal systems, with emphasis given to the periodic solutions that occur at spectral singularities of PT symmetric models. For these periodic solutions, the dual functions are associated polynomials that obey inhomogeneous equations. We construct in detail some explicit examples for the supersymmetric pairs of potentials V_{+/-}(z) = -U(z)^2 +/- z(d/(dz))U(z) where U(z) = \sum_{k>0}u_{k}z^{k}. In particular, we consider the cases generated by U(z) = z and z/(1-z). We also briefly consider the effects of magnetic vector potentials on the partition functions of these systems.
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"abstract": "We discuss supersymmetric biorthogonal systems, with emphasis given to the\nperiodic solutions that occur at spectral singularities of PT symmetric models.\nFor these periodic solutions, the dual functions are associated polynomials\nthat obey inhomogeneous equations. We construct in detail some explicit\nexamples for the supersymmetric pairs of potentials V_{+/-}(z) = -U(z)^2 +/-\nz(d/(dz))U(z) where U(z) = \\sum_{k\u003e0}u_{k}z^{k}. In particular, we consider the\ncases generated by U(z) = z and z/(1-z). We also briefly consider the effects\nof magnetic vector potentials on the partition functions of these systems.",
"arxiv_id": "quant-ph/0603170",
"authors": [
"Thomas Curtright",
"Luca Mezincescu",
"David Schuster"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1063/1.2191367",
"journal_ref": "J.Math.Phys.48:092108,2007",
"title": "Supersymmetric Biorthogonal Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/0603170"
},
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