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Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass. (English. Russian original) Zbl 07488493

Math. Notes 111, No. 2, 173-192 (2022); translation from Mat. Zametki 111, No. 2, 163-187 (2022).
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On the discreteness of the spectrum of matrix Schrödinger and Dirac operators with point interactions. (English. Russian original) Zbl 07455576

Math. Notes 110, No. 6, 960-966 (2021); translation from Mat. Zametki 110, No. 6, 932-938 (2021).
MSC:  47Bxx 47Axx 47-XX
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Hierarchical Schrödinger type operators: the case of locally bounded potentials. (English) Zbl 07440853

Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 43-89 (2021).
MSC:  34L05 34L40 46A19
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Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities. (English) Zbl 1480.81044

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 41-63 (2021).
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Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. (English. Russian original) Zbl 07424695

Dokl. Math. 103, No. 1, 47-49 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 56-58 (2021).
MSC:  34L40 34B24
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