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http://hdl.handle.net/10773/25953
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DC Field | Value | Language |
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dc.contributor.author | Lakshtanov, Evgeny | pt_PT |
dc.contributor.author | Vainberg, Boris | pt_PT |
dc.contributor.author | Konotop, Vladimir | pt_PT |
dc.date.accessioned | 2019-05-07T15:50:18Z | - |
dc.date.available | 2019-05-07T15:50:18Z | - |
dc.date.issued | 2019-04-26 | - |
dc.identifier.issn | 2469-9926 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/25953 | - |
dc.description.abstract | Existence of a spectral singularity (SS) in the spectrum of a Schrödinger operator with a non-Hermitian potential requires exact matching of parameters of the potential. We provide a necessary and sufficient condition for a potential to have a SS at a given wavelength. It is shown that potentials with SSs at prescribed wavelengths can be obtained by a simple and effective procedure. In particular, the developed approach allows one to obtain potentials with several SSs and with SSs of the second order, as well as potentials obeying a given symmetry, say, PT -symmetric potentials. We illustrate all these opportunities with examples. We also describe splitting of a second-order SS under change of the potential parameters, and discuss possibilities of experimental observation of SSs of different orders. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | American Physical Society | pt_PT |
dc.relation | UID/MAT/0416/2019 | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.title | Designing lasing and perfectly absorbing potentials | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.issue | 4 | pt_PT |
degois.publication.title | Physical Review A | pt_PT |
degois.publication.volume | 99 | pt_PT |
dc.relation.publisherversion | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.043838 | pt_PT |
dc.identifier.doi | https://doi.org/10.1103/PhysRevA.99.043838 | pt_PT |
dc.identifier.essn | 2469-9934 | pt_PT |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1812.05499.pdf | 327.14 kB | Adobe PDF | View/Open |
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