Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides. (English. Russian original) Zbl 1519.35061 Theor. Math. Phys. 214, No. 1, 1-23 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 3-29 (2023). MSC: 35C20 35S05 53D12 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 214, No. 1, 1--23 (2023; Zbl 1519.35061); translation from Teor. Mat. Fiz. 214, No. 1, 3--29 (2023) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Representation of Bessel functions by the Maslov canonical operator. (English. Russian original) Zbl 1471.81033 Theor. Math. Phys. 208, No. 2, 1018-1037 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 196-217 (2021). MSC: 81Q20 81S08 33C10 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 208, No. 2, 1018--1037 (2021; Zbl 1471.81033); translation from Teor. Mat. Fiz. 208, No. 2, 196--217 (2021) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091 Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019). MSC: 81Q10 81Q20 33C10 34L40 34E10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 201, No. 3, 1742--1770 (2019; Zbl 1441.81091); translation from Teor. Mat. Fiz. 201, No. 3, 382--414 (2019) Full Text: DOI
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E. Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. (English. Russian original) Zbl 1323.81031 Theor. Math. Phys. 180, No. 2, 894-916 (2014); translation from Teor. Mat. Fiz. 180, No. 2, 162-188 (2014). MSC: 81Q05 35C05 35Q41 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 180, No. 2, 894--916 (2014; Zbl 1323.81031); translation from Teor. Mat. Fiz. 180, No. 2, 162--188 (2014) Full Text: DOI
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya. New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. (English. Russian original) Zbl 1298.81091 Theor. Math. Phys. 177, No. 3, 1579-1605 (2013); translation from Teor. Mat. Fiz. 177, No. 3, 355-386 (2013). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 177, No. 3, 1579--1605 (2013; Zbl 1298.81091); translation from Teor. Mat. Fiz. 177, No. 3, 355--386 (2013) Full Text: DOI arXiv
Katsnelson, M. I.; Nazaikinskii, V. E. The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. (English. Russian original) Zbl 1282.82064 Theor. Math. Phys. 172, No. 3, 1263-1277 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 437-453 (2012). MSC: 82D80 81Q05 37B30 PDFBibTeX XMLCite \textit{M. I. Katsnelson} and \textit{V. E. Nazaikinskii}, Theor. Math. Phys. 172, No. 3, 1263--1277 (2012; Zbl 1282.82064); translation from Teor. Mat. Fiz. 172, No. 3, 437--453 (2012) Full Text: DOI arXiv Link