Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Relation between the geometry of quantum systems and their spectral properties; analysis of a special class of models.

2013/11/B/ST1/03067

Keywords:

Schroedinger operator delta interaction bound states resonance states

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_18: Control theory and optimisation
  • ST1_8: Analysis

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

woj. lubuskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Sylwia Kondej 

Number of co-investigators in the project: 4

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 90 700 PLN

Project start date (Y-m-d): 2014-09-09

Project end date (Y-m-d): 2017-02-08

Project duration:: 29 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer typu notebook (7 000 PLN)
  2. jedna licencja programu Mathematica na okres dwóch lat (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  • Book publications / chapters in book publications (1)
  1. Gap asymptotics in a weakly bent leaky quantum wire
    Authors:
    Pavel Exner, Sylwia Kondej
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2015, tom: 48, strony: 495301 (19pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8113/48/49/495301 - link to the publication
  2. 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 (rok: 2018, tom: 59, strony: 013501-1--013051-17), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.5019931 - link to the publication
  3. 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 (rok: 2016, tom: 77, strony: 45308), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Asymptotic spectral analysis in colliding leaky quantum layers
    Authors:
    Sylwia Kondej, David Krejcirik
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 446, strony: 1328-1355), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.09.032 - link to the publication
  5. Aharonov and Bohm versus Welsh eigenvalues
    Authors:
    Pavel Exner, Sylwia Kondej
    Academic press:
    Letters in Mathematical Physics (rok: 2018, tom: 108, strony: 2153–2167), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-018-1069-9 - link to the publication
  6. Straight quantum layer with impurities inducing resonances
    Authors:
    Sylwia Kondej
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2017, tom: 50, strony: 315203 (18pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa7604 - link to the publication
  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 (rok: 2017, tom: 12, strony: 419-432), Wydawca: EMS Publishing House
    Status:
    Published
    DOI:
    link to the publication

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