Fedotov, A. A. Complex WKB method (one-dimensional linear problems on the complex plane). (English. Russian original) Zbl 07820512 Math. Notes 114, No. 6, 1418-1479 (2023); translation from Bol’sh. Rossiĭsk. Entsiklopediya (2023). MSC: 34M60 PDFBibTeX XMLCite \textit{A. A. Fedotov}, Math. Notes 114, No. 6, 1418--1479 (2023; Zbl 07820512); translation from Bol'sh. Rossiĭsk. Entsiklopediya (2023) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Shkalikov, A. A. On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 1517.81051 Math. Notes 112, No. 5, 623-641 (2022); translation from Mat. Zametki 112, No. 5, 644-664 (2022). MSC: 81Q10 34L40 34L20 81Q20 34L15 33C10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 112, No. 5, 623--641 (2022; Zbl 1517.81051); translation from Mat. Zametki 112, No. 5, 644--664 (2022) Full Text: DOI
Anikin, A. Yu.; Rykhlov, V. V. Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass. (English. Russian original) Zbl 1486.81113 Math. Notes 111, No. 2, 173-192 (2022); translation from Mat. Zametki 111, No. 2, 163-187 (2022). MSC: 81Q20 81U40 78A30 82D80 81Q10 35B34 82C70 35P20 33C10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} and \textit{V. V. Rykhlov}, Math. Notes 111, No. 2, 173--192 (2022; Zbl 1486.81113); translation from Mat. Zametki 111, No. 2, 163--187 (2022) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. (English. Russian original) Zbl 1483.53094 Math. Notes 108, No. 3, 318-338 (2020); translation from Mat. Zametki 108, No. 3, 334-359 (2020). MSC: 53D12 41A60 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 108, No. 3, 318--338 (2020; Zbl 1483.53094); translation from Mat. Zametki 108, No. 3, 334--359 (2020) Full Text: DOI
Fedotov, A. A.; Shchetka, E. V. Semiclassical asymptotics of the spectrum of the subcritical Harper operator. (English. Russian original) Zbl 1447.47034 Math. Notes 104, No. 6, 933-938 (2018); translation from Mat. Zametki 104, No. 6, 948-952 (2018). MSC: 47B39 47A10 PDFBibTeX XMLCite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, Math. Notes 104, No. 6, 933--938 (2018; Zbl 1447.47034); translation from Mat. Zametki 104, No. 6, 948--952 (2018) Full Text: DOI
Kordyukov, Yu. A.; Yakovlev, A. A. The problem of the number of integer points in families of anisotropically expanding domains, with applications to spectral theory. (English. Russian original) Zbl 1290.11133 Math. Notes 92, No. 4, 574-576 (2012); translation from Mat. Zametki 92, No. 4, 632-635 (2012). Reviewer: Olaf Ninnemann (Berlin) MSC: 11P21 34L20 35J10 47A75 52C07 58C40 81Q20 PDFBibTeX XMLCite \textit{Yu. A. Kordyukov} and \textit{A. A. Yakovlev}, Math. Notes 92, No. 4, 574--576 (2012; Zbl 1290.11133); translation from Mat. Zametki 92, No. 4, 632--635 (2012) Full Text: DOI
Chernyshev, V. L.; Shafarevich, A. I. Semiclassical spectrum of the Schrödinger operator on a geometric graph. (English. Russian original) Zbl 1160.47022 Math. Notes 82, No. 4, 542-554 (2007); translation from Mat. Zametki 82, No. 4, 606-620 (2007). Reviewer: Ti-Jun Xiao (Fudan) MSC: 47B25 35J10 35P05 81Q20 PDFBibTeX XMLCite \textit{V. L. Chernyshev} and \textit{A. I. Shafarevich}, Math. Notes 82, No. 4, 542--554 (2007; Zbl 1160.47022); translation from Mat. Zametki 82, No. 4, 606--620 (2007) Full Text: DOI
Nekrasov, R. V. Semiclassical spectral series of the schrödinger operator on surfaces in magnetic fields. (English) Zbl 1115.81342 Math. Notes 80, No. 1, 65-71 (2006); translation from Mat. Zametki 80, No. 1, 69-75 (2006). MSC: 81Q10 81Q20 35P20 PDFBibTeX XMLCite \textit{R. V. Nekrasov}, Math. Notes 80, No. 1, 65--71 (2006; Zbl 1115.81342); translation from Mat. Zametki 80, No. 1, 69--75 (2006) Full Text: DOI
Koval’, G. V. Asymptotics in the number of elements of a statistical ensemble for Maslov equations in quantum thermodynamics. (English. Russian original) Zbl 1052.82005 Math. Notes 73, No. 4, 590-593 (2003); translation from Mat. Zametki 73, No. 4, 631-633 (2003). MSC: 82B10 PDFBibTeX XMLCite \textit{G. V. Koval'}, Math. Notes 73, No. 4, 590--593 (2003; Zbl 1052.82005); translation from Mat. Zametki 73, No. 4, 631--633 (2003) Full Text: DOI
Kordyukov, Yu. A. The semiclassical asymptote of the spectrum of elliptic operators on a manifold with foliation. (English. Russian original) Zbl 0812.58087 Math. Notes 53, No. 1, 104-105 (1993); translation from Mat. Zametki 53, No. 1, 145-147 (1993). Reviewer: X.-P.Wang (Nantes) MSC: 58J37 58J50 35P20 PDFBibTeX XMLCite \textit{Yu. A. Kordyukov}, Math. Notes 53, No. 1, 145--147 (1993; Zbl 0812.58087); translation from Mat. Zametki 53, No. 1, 145--147 (1993) Full Text: DOI
Kozlov, S. M. Spectral asymptotics of random operators. (English. Russian original) Zbl 0672.35053 Math. Notes 43, No. 3, 234-243 (1988); translation from Mat. Zametki 43, No. 3, 407-423 (1988). Reviewer: V.Ivrij MSC: 35P20 35R60 58J50 PDFBibTeX XMLCite \textit{S. M. Kozlov}, Math. Notes 43, No. 3, 234--243 (1988; Zbl 0672.35053); translation from Mat. Zametki 43, No. 3, 407--423 (1988) Full Text: DOI