dorsal/arxiv
View SchemaReal Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
| Authors | Carl M. Bender, Stefan Boettcher |
|---|---|
| Categories | |
| ArXiv ID | physics/9712001 |
| URL | https://arxiv.org/abs/physics/9712001 |
| DOI | 10.1103/PhysRevLett.80.5243 |
| Journal | Phys.Rev.Lett. 80 (1998) 5243-5246 |
Abstract
The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of ${\cal PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These ${\cal PT}$ symmetric theories may be viewed as analytic continuations of conventional theories from real to complex phase space. This paper describes the unusual classical and quantum properties of these theories.
{
"annotation_id": "7809665e-b6f6-4ccf-9b81-a271040bc317",
"date_created": "2026-03-02T18:01:21.627000Z",
"date_modified": "2026-03-02T18:01:21.627000Z",
"file_hash": "f3138c2d0bf48a3f3ff130a293e53a6a68117ebcbaaf73d82f8970811d06a423",
"private": false,
"record": {
"abstract": "The condition of self-adjointness ensures that the eigenvalues of a\nHamiltonian are real and bounded below. Replacing this condition by the weaker\ncondition of ${\\cal PT}$ symmetry, one obtains new infinite classes of complex\nHamiltonians whose spectra are also real and positive. These ${\\cal PT}$\nsymmetric theories may be viewed as analytic continuations of conventional\ntheories from real to complex phase space. This paper describes the unusual\nclassical and quantum properties of these theories.",
"arxiv_id": "physics/9712001",
"authors": [
"Carl M. Bender",
"Stefan Boettcher"
],
"categories": [
"math-ph",
"cond-mat",
"hep-th",
"math.MP",
"quant-ph"
],
"doi": "10.1103/PhysRevLett.80.5243",
"journal_ref": "Phys.Rev.Lett. 80 (1998) 5243-5246",
"title": "Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry",
"url": "https://arxiv.org/abs/physics/9712001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8263071d-b96e-41b7-81ab-73f4bb6471ef",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}