dorsal/arxiv
View SchemaSUSY transformations between digonalizable and non-diagonalizable Hamiltonians
| Authors | B F Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503075 |
| URL | https://arxiv.org/abs/quant-ph/0503075 |
| DOI | 10.1088/0305-4470/38/21/L04 |
| Journal | An extended version is published in J. Phys. A: Math. Gen. 38 (2005) L397--L403 |
Abstract
Recently (see quant-ph/0503040) an explicit example has been given of a PT-symmetric non-diagonalizable Hamiltonian. In this paper we show that such Hamiltonians appear as supersymmetric (SUSY) partners of Hermitian (hence diagonalizable) Hamiltonians and they can be turned back to diagonalizable forms by appropriate SUSY transformations.
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"abstract": "Recently (see quant-ph/0503040) an explicit example has been given of a\nPT-symmetric non-diagonalizable Hamiltonian. In this paper we show that such\nHamiltonians appear as supersymmetric (SUSY) partners of Hermitian (hence\ndiagonalizable) Hamiltonians and they can be turned back to diagonalizable\nforms by appropriate SUSY transformations.",
"arxiv_id": "quant-ph/0503075",
"authors": [
"B F Samsonov"
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"doi": "10.1088/0305-4470/38/21/L04",
"journal_ref": "An extended version is published in J. Phys. A: Math. Gen. 38\n (2005) L397--L403",
"title": "SUSY transformations between digonalizable and non-diagonalizable Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0503075"
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