Homepage of
doc. Mgr. Diana Barseghyan, Ph.D.

• CV
• Personal
• Education
• Academic degrees
• Professional career
• Teaching experience

• Research
• Research interests
• Publications
• Conferences
• Research visits
• Collaborators
• Editorial work

Personal↑

Education↑

Academic degrees↑

Professional career↑

Teaching Experience↑

Research interests↑

• Spectral theory
• Schrödinger operators, magnetic Schrödinger operators
• Lieb-Tirring-type inequalities, other eigenvalue estimates
• Quantum waveguides and graphs

Publications↑

Preprints

• Magnetic field influence on the discrete spectrum of locally deformed leaky wires
  Diana Barseghyan, Pavel Exner
  preprint

Articles in peer-reviewed journals (published or accepted)

1. Dirichlet-type problems for certain Beltrami equations
   Juan Bory Reyes, Diana Barseghyan, Baruch Schneider
   Mediterranean Journal of Mathematics. Accepted. To appear.
   
2. Magnetic Dirichlet Laplacian with radially symmetric magnetic field
   Diana Barseghyan, Françoise Truc
   In: Kurasov P., Laptev A., Naboko S., Simon B. (eds) Analysis as a Tool in Mathematical Physics. Operator Theory: Advances and Applications, vol 276, 154-161 (2020) Birkhäuser, Cham
   article
3. Spectral geometry in a rotating frame: properties of the ground state
   Diana Barseghyan, Pavel Exner
   Journal of Mathematical Analysis and Applications 489, No. 1, 124-130 (2020)
   preprint article
4. Eigenvalue bound for Schroedinger operators with unbounded magnetic field
   Diana Barseghyan, Baruch Schneider
   Reports on Mathematical Physics 85, No. 2, 239-251 (2020)
   preprint article
5. Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
   Diana Barseghyan, Andrii Khrabustovskyi
   Operators and Matrices 13, No. 2, 311-322 (2019)
   preprint, article
6. A magnetic version of the Smilansky model
   Pavel Exner, Diana Barseghyan
   Journal of Physics A: Mathematical and Theoretical 50, No. 48, 485203, 24 pp. (2017)
   preprint, article
7. A regular analogue of the Smilansky model:spectral properties
   Diana Barseghyan, Pavel Exner
   Reports on Mathematical Physics 80, No. 2, 177-192 (2017)
   preprint, article
8. On a class of Schroedinger operators exhibiting spectral transition
   Diana Barseghyan, Olga Rossi
   Functional analysis and operator theory for quantum physics. The Pavel Exner anniversary volume.
   Zürich: European Mathematical Society (EMS). EMS Series of Congress Reports, 55-70 (2017)
   article
9. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition
   Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi, Milos Tater
   Journal of Physics A: Mathematical and Theoretical 49, No. 16, Article ID 165302, 19 pp. (2016)
   preprint, article
10. Semiclassical bounds in magnetic bottles
    Diana Barseghyan, Pavel Exner, Hynek Kovařik, Timo Weidl
    Reviews in Mathematical Physics 28, No. 1, Article ID 1650002, 29 pp. (2016)
    preprint, article
11. Gaps in the spectrum of a periodic quantum graph with periodically distributed δ'-type interactions
    Diana Barseghyan, Andrii Khrabustovskyi
    Journal of Physics A: Mathematical and Theoretical 48, No. 25, Article ID 255201, 19 pp. (2015)
    preprint, article
12. A regular version of Smilansky model
    Diana Barseghyan, Pavel Exner
    Journal of Mathematical Physics 55, No. 4, Article ID 042104, 13 pp. (2014)
    preprint, article
13. Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes
    Pavel Exner, Diana Barseghyan
    Operators and Matrices 8, No. 1, 167-183 (2014)
    preprint, article
14. Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps
    Diana Barseghyan, Pavel Exner
    Journal of Spectral Theory 3, No. 4, 465-484 (2013)
    preprint, article
15. Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below
    P.Exner, Diana Barseghyan
    Journal of Physics A: Mathematical and Theoretical 45, No. 7, Article ID 075204, 14 p. (2012)
    preprint, article
16. Possibility to strengthen the Lieb-Thirring inequality for systems of functions of special type
    Diana Barseghyan
    Moscow University Mathematics Bulletin 66, No. 3, 93-100 (2011)
    article
17. Applications of inequalities of Lieb-Thirring type to spectral theory
    Diana Barseghyan
    Mathematical Notes 88, No. 2, 160-164 (2010)
    article
18. On the possibility of strengthening the Lieb-Thirring inequality
    Diana Barseghyan
    Mathematical Notes 86, No. 6, 753-766 (2009)
    article
19. On inequalities of Lieb-Thirring type
    Diana Barseghyan
    Mathematical Notes 82, No. 4, 451-460 (2007)
    article

Proceedings

• A variation on Smilansky's model
  Diana Barseghyan, Pavel Exner
  Mathematical Results in Quantum Mechanics: Proceedings of the QMath12 Conference, World Scientific, 2014
  article
• Spectral analysis of Schrödinger operators with unusual semiclassical behavior
  Diana Barseghyan, Pavel Exner
  Acta Polytechnica 53, No. 3, 271-279 (2013)
  article

Conferences↑

• Spectral Problems and Related Topics, November 2009, Moscow, Russia.
• Modern problems of Analysis and teaching of Mathematics, May 2010, Moscow, Russia.
• Analytic and Algebraic Methods in Physics X, June 2012, Prague, Czech Republic.
• International Congress on Mathematical Physics, August 2012, Aalborg, Danmark (poster).
• "QMath12: Mathematical Results in Quantum Mechanics", September 2013, Berlin, Germany.
• 10. Meeting of Mathematical Physicists, June 2014, Prague, Czech Republic.
• "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2014), July 2014, Stockholm, Sweden.
• "International Workshop on Operator Theory and its Applications" (IWOTA 2014), July 2014, Amsterdam, Netherlands.
• Workshop "Waveguides: asymptotic methods and numerical analysis", May 2015, Naples, Italy.
• Workshop on Geometry, Lie Groups, and Number Theory, June 2015, Ostrava, Czech Republic.
• The French-German workshop "Asymptotic analysis and spectral theory" (Aspect'15), October 2015, Orsay, France.
• "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2016), July 2016, St. Petersburg, Russia.
• "Chaos, and what it can reveal - A conference on the occasion of Petr Seba's 60th birthday", May 2017, Hradec Kralove, Czech Republic.
• "Schrödinger Operators and Boundary Value Problems, April 2017, Graz, Austria.
• Spectral Theory and Applications, May 2018, Krakow, Poland
• 11. setkání matematických fyziku, June 2018, Hradec Králové, Czech Republic
• Conference on Mathematics of Wave Phenomena, July 2018, Karlsruhe, Germany
• "Differential operators on graphs and waveguides", February 2019, Graz, Austria.

Research visits↑

• University of Warsaw, November 2018
• Graz University of Technology, December 2017 & April 2018 & January 2019
• University of Hradec Králové, May 2017
• AGH University of Science and Technology of Krakow, April 2017 & May 2017
• University of Grenoble, January 2016
• Karlsruhe University of Technology, October 2013 & October 2014
• Stuttgart University, June 2014

Collaborators↑

• Pavel Exner, Nuclear Physics Institute of the Czech Academy of Sciences & Czech Technical University
• Timo Weidl, University of Stuttgart, Germany
• Andrii Khrabustovskyi, Graz University of Technology, Austria
• Hynek Kovařik, University of Brescia, Italy
• Olga Rossi, University of Ostrava
• Baruch Schneider, University of Ostrava
• Françoise Truc, University of Grenoble, France
• Milos Tater, Nuclear Physics Institute of the Czech Academy of Sciences

Editorial work↑