The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
Open accessAbstract
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.
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Cites
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Mostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1418246 · Cited by 1,675
Self-citation𝓟𝓣-symmetric quantum mechanics
Bender, C. M., Boettcher, S., & Meisinger, P. N. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532860 · Cited by 1,373
Ahmed, Z. (2001) · Physics Letters A · doi:10.1016/s0375-9601(01)00218-3 · Cited by 355
Schrödinger operators with complex potential but real spectrum
Cannata, F., Junker, G., & Trost, J. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00517-9 · Cited by 292
Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
Dorey, P., Dunning, C., & Tateo, R. (2001) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/34/28/102 · Cited by 278
Complex periodic potentials with real band spectra
Bender, C. M., Dunne, G. V., & Meisinger, P. N. (1999) · Physics Letters A · doi:10.1016/s0375-9601(98)00960-8 · Cited by 200
Spectral analysis of the complex cubic oscillator
Delabaere, É., & Trinh, D. T. (2000) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/33/48/314 · Cited by 135
Mezincescu, G. A. (2000) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/33/27/308 · Cited by 97
PT-symmetric sextic potentials
Bagchi, B., Cannata, F., & Quesne, C. (2000) · Physics Letters A · doi:10.1016/s0375-9601(00)00227-9 · Cited by 82
Cited by
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
The physics of exceptional points
Heiss, W. D. (2012) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/45/44/444016 · Cited by 1,438
Symmetry and Topology in Non-Hermitian Physics
Kawabata, K., Shiozaki, K., Ueda, M., & Sato, M. (2019) · Physical Review X · doi:10.1103/physrevx.9.041015 · Cited by 1,357
Yao, S., Song, F., & Wang, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.136802 · Cited by 933
Mostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1489072 · Cited by 782
Self-citation
Metadata
- Authors
- Mostafazadeh, A.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2002-05-01
- Volume
- 43
- Issue
- 5
- Pages
- 2814-2816
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2069672988
- Cited by
- 832
- References
- 11
- FWCI
- 22.61
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.