Relation between the geometry of quantum systems and their spectral properties; analysis of a special class of models.
2013/11/B/ST1/03067
Keywords
Descriptors
- ST1_12: Fizyka matematyczna
- ST1_18: Zastosowania matematyki w innych naukach
- ST1_8: Analiza
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Zielonogórski, Wydział Fizyki i Astronomii
Voivodeship: lubuskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 4
Call
OPUS 6 – announced on 2013-09-16
- Amount awarded
- 90 700 PLN
- Project start date
- 2014-09-09
- Project end date
- 2017-02-08
- Project duration
- 29 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- jedna licencja programu Mathematica na okres dwóch lat. Cost: 7 000 PLN
- komputer typu notebook. Cost: 7 000 PLN
Information in the final report
Publication in academic press/journals (6)
-
Asymptotic spectral analysis in colliding leaky quantum layers
- Authors:
- Sylwia Kondej, David Krejcirik
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2017, volume: 446, pages: 1328-1355), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2016.09.032 – link to the publication
-
Gap asymptotics in a weakly bent leaky quantum wire
- Authors:
- Pavel Exner, Sylwia Kondej
- Academic press:
- Journal of Physics A: Mathematical and Theoretical (year: 2015, volume: 48, pages: 495301 (19pp)), Publisher: IOP Publishing
- Status:
- Published
- DOI:
- 10.1088/1751-8113/48/49/495301 – link to the publication
-
Strong coupling asymptotics for Schrodinger operator with an interaction supported by an open arc in three dimensions
- Authors:
- Pavel Exner, Sylwia Kondej
- Academic press:
- Reports on Mathematical Physics (year: 2016, volume: 77, pages: 46039), Publisher: Elsevier
- Status:
- Published
-
Straight quantum layer with impurities inducing resonances
- Authors:
- Sylwia Kondej
- Academic press:
- Journal of Physics A: Mathematical and Theoretical (year: 2017, volume: 50, pages: 315203 (18pp)), Publisher: IOP Publishing
- Status:
- Published
- DOI:
- 10.1088/1751-8121/aa7604 – link to the publication
-
Aharonov and Bohm versus Welsh eigenvalues
- Authors:
- Pavel Exner, Sylwia Kondej
- Academic press:
- Letters in Mathematical Physics (year: 2018, volume: 108, pages: 2153–2167), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11005-018-1069-9 – link to the publication
-
Asymptotics of the bound state induced by delta -interaction supported on a weakly deformed plane
- Authors:
- Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
- Academic press:
- Journal of Mathematical Physics (year: 2018, volume: 59, pages: 013501-1--013051-17), Publisher: American Institute of Physics
- Status:
- Published
- DOI:
- 10.1063/1.5019931 – link to the publication
Book publications / chapters in book publications (1)
-
Spectral asymptotics induced by approaching and diverging planar circles
- Authors:
- Sylwia Kondej
- Book:
- Functional Analysis and Operator Theory for Quantum Physics, The Pavel Exner Anniversary Volume (year: 2017, volume: 12, pages: 419-432), Publisher: EMS Publishing House
- Status:
- Published
- DOI:
- link to the publication