The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
Open accessAbstract
The appearances of complex eigenvalues in the spectra of -symmetric quantum mechanical systems are usually associated with a spontaneous breaking of . In this Letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with -fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.
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Citations
Cites
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Dynamical breaking of supersymmetry
Witten, E. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90006-7 · Cited by 3,775
𝓟𝓣-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
Quasi-exactly-solvable problems andsl(2) algebra
Turbiner, A. V. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01466727 · Cited by 723
Dorey, P., Dunning, C., & Tateo, R. (2001) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/34/28/305 · Cited by 543
Self-citationQuasi-exactly solvable quartic potential
Bender, C. M., & Boettcher, S. (1998) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/31/14/001 · Cited by 210
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
Quasi-exactly solvable systems and orthogonal polynomials
Bender, C. M., & Dunne, G. V. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531373 · Cited by 127
Mezincescu, G. A. (2000) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/33/27/308 · Cited by 97
PT-symmetric quantum mechanicsPreprint
Bender, C. M., & Hook, D. W. (2023) · arXiv (Cornell University) · doi:10.48550/arxiv.2312.17386 · 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
Mostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1461427 · Cited by 832
Dorey, P., Dunning, C., & Tateo, R. (2001) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/34/28/305 · Cited by 543
Self-citationIntroduction to 𝒫𝒯-symmetric quantum theory
Bender, C. M. (2005) · Contemporary Physics · doi:10.1080/00107500072632 · Cited by 489
Metadata
- Authors
- Dorey, P., Dunning, C., & Tateo, R.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2001-07-06
- Volume
- 34
- Issue
- 28
- Pages
- L391-L400
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W1963736794
- Cited by
- 278
- References
- 11
- FWCI
- 12.97
- 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).
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