Profesní životopis, předložení seznamu vědeckých prací, přehledu projektů
Diana Schneiderová (Barseghyan)
Vzdělání:
2001-2007, Jerevanská státní univerzita, Arménie 2007-2010, Moskevská státní univerzita M. V. Lomonosova
Akademické tituly:
2007 - Mgr., Jerevanská státní univerzita, Obor Matematika
2010 - Ph.D., Moskevská státní univerzita M. V. Lomonosova, Obor Matematika 2015 - doc, obor Aplikovaná matematika, Ostravská univerzita
Zaměstnání, praxe:
2011 - 2013- Ustav jaderné fyziky AV ČR (postdoktorand) 2013 - Mittag-Leffler Institute, (postdoktorand)
2013 - 2014 - Friedrich-Alexander Universitát Erlangen-Nurnberg (postdoktorand)
2014 - 2016- Ostravská univerzita (vědecký pracovník)
2014 - 2023- Ustav jaderné fyziky AV ČR (vědecký pracovník) 2016- dosud, Ostravská univerzita
Odborné zaměření:
Spektrální teorie
Schrôdingerovy operátory, magnetické Schrôdingerovy operátory Lieb-Thirringovy nerovnosti Kvantové grafy
Účast v projektech:
Ministerstvo školství, mládeže a tělovýchovy, projekt LC06002
Grantová agentura České republiky, projekt P203/11/0701
ERC STARTING GRANT 258685
Grantová agentura České republiky, projekt 14-02476S
Grantová agentura České republiky, projekt 14-06818S
Projekt "Podpora vědy a výzkumu v Moravskoslezském kraji 2013"
Projekt SMO "Posíleni mezinárodního rozmeru vedeckých aktivit na Prírodovedecké fakulte OU v Ostrave"0924/2016/SaS
Projekt: Posilováni mezinárodni spolupráce v oblasti vedy výzkumu a vzděláváni 01211/2016/RRC
Czech-Austrian Grant CZ 02/2017
Grantová agentura České republiky, projekt 21-07129S
Czech-Polish project BPI/PST/2021/1/00031
Publikační činnost:
Diana Barseghyan, Swanhild Bernstein and Baruch Schneider, Magnetic Neumann Laplacian on a domain with hole. To appear in Reports on Mathematical Physics.
Diana Barseghyan, Pavel Exner, Spectral estimates for Dirichlet Laplacian on spiral-shaped regions. To appear in Journal of Spectral Theory.
Diana Barseghyan, Baruch Schneider and Ly Hong, Hay, Neumann Laplacian in a perturbed domain. Mediterranean Journal of Mathematics Vol. 19(126), pp. 1-17 (2022).
Juan Bory Reyes, Diana Barseghyan, Baruch Schneider, Dirichlet-type problems for certain Beltrami equations, Mediterranean Journal of Mathematics 2021,18(3), 1-14. ISSN 1660-5446.
Diana Barseghyan, Pavel Exner, Magnetic field influence on the discrete spectrum of locally deformed leaky wires, Reports on Mathematical Physics. 2021,88(1), 47-57. ISSN 0034-4877.
Diana Barseghyan, Baruch Schneider, Eigenvalue bound for Schrodinger operators with unbounded magnetic field, REP MATH PHYS 2020,85(2), s. 239-251. ISSN 0034-4877.
Diana Barseghyan, Francoise Truc, Magnetic Schrodinger operators with radially symmetric magnetic field and radially symmetric electric potential. In: Operator Theory: Advances and Applications, Springer Nature Switzerland AG, 2020. s. 154-161. 276. ISBN 978-3030315306.
Diana Barseghyan, Pavel Exner, Spectral geometry in a rotating frame: Properties of the ground state, Journal of Mathematical Analysis and Applications. 2020, 489(1), 1-13. ISSN 0022-247X.
Diana Barseghyan, Andrii Khrabustovskyi, Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity, Operators and Matrices. 2019, 13(2), 311-322. ISSN 1846-3886.
D. Barseghyan, P. Exner, A magnetic version of the Smilansky model, Journal of Physics A: Mathematical and Theoretical 50, No. 48, 485203, 24 pp. (2017)
D. Barseghyan, P. Exner, A regular analogue of the Smilansky model: spectral properties, Reports on Mathematical Physics 80, No. 2,177-192 (2017)
D. Barseghyan, O. Rossi, On a class of Schrodinger operators exhibiting spectral transition Functional analysis and operator theory for quantum physics. The P. Exner anniversary volume. Zurich: European Mathematical Society (EMS). EMS Series of Congress Reports, 55-70 (2017)
D. Barseghyan, P. Exner, A. Khrabustovskyi, M. Tater, Spectral analysis of a class of Schrodinger operators exhibiting a parameter-dependent spectral transition, Journal of Physics A: Mathematical and Theoretical 49, No. 16, Article ID 165302,19 pp. (2016)
D. Barseghyan, P. Exner, H. Kovarik, T. Weidl, Semiclassical bounds in magnetic bottles, Reviews in Mathematical Physics 28, No. 1, Article ID 1650002, 29 pp. (2016)
D. Barseghyan, A. Khrabustovskyi, Gaps in the spectrum of a periodic quantum graph with periodically distributed <5'-type interactions, Journal of Physics A: Mathematical and Theoretical 48, No. 25, Article ID 255201,19 pp. (2015)
D. Barseghyan, P. Exner, A regular version of Smilansky model, Journal of Mathematical Physics 55, No. 4, Article ID 042104,13 pp. (2014)
P. Exner, D. Barseghyan, Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes, Operators and Matrices 8, No. 1,167-183 (2014)
D. Barseghyan, P. Exner, Spectral estimates for Dirichlet Laplacians and Schrodinger operators on geometrically nontrivial cusps, Journal of Spectral Theory 3, No. 4, 465-484 (2013)
P. Exner, D. Barseghyan, Spectral estimates for a class of Schrodinger operators with infinite phase space and potential unbounded from below, Journal of Physics A: Mathematical and Theoretical 45, No. 7, Article ID 075204,14 p. (2012)
D. Barseghyan, Possibility to strengthen the Lieb-Thirring inequality for systems of functions of special type Moscow University Mathematics Bulletin 66, No. 3, 93-100 (2011)
D. Barseghyan, Applications of inequalities of Lieb-Thirring type to spectral theory, Mathematical Notes 88, No. 2,160-164 (2010)
D. Barseghyan, On the possibility of strengthening the Lieb-Thirring inequality, Mathematical Notes 86, No. 6, 753-766 (2009)
D. Barseghyan, On inequalities of Lieb-Thirring type, Mathematical Notes 82, No. 4, 451-460 (2007)
Výuka (University of Erlangen-Nurnberg a Ostravská univerzita
Calculus of Variations
Spectral theory of Schrodinger operators
Functional analysis Linear algebra Matematická analýza