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Complex periodic potentials with real band spectra
Open accessAbstract
Abstract This paper demonstrates that complex P T-symmetric periodic potentials possess real band spectra. However, there are significant qualitative differences in the band structure for these potentials when compared with conventional real periodic potentials. For example, while the potentials V(x) = i sin2N+1 (x) (N = 0, 1, 2,…) have infinitely many gaps, at the band edges there are periodic wave functions but no antiperiodic wave functions. Numerical analysis and higher-order WKB techniques are used to establish these results.
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Citations
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
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Metadata
- Authors
- Bender, C. M., Dunne, G. V., & Meisinger, P. N.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1999-03
- Volume
- 252
- Issue
- 5
- Pages
- 272-276
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2027720279
- Cited by
- 200
- References
- 0
- FWCI
- 6.96
- Type
- journal article
- Language
- en
- Open access
- green
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- Bender, C. M., Dunne, G. V., & Meisinger, P. N. (1999). Complex periodic potentials with real band spectra. Physics Letters A. https://doi.org/10.1016/s0375-9601(98)00960-8
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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.
