Kordyukov, Yu. A.; Taimanov, I. A. Quasi-classical approximation of monopole harmonics. (English. Russian original) Zbl 07820498 Math. Notes 114, No. 6, 1277-1288 (2023); translation from Mat. Zametki 114, No. 6, 848-862 (2023). MSC: 81Qxx 35Jxx 78Axx PDFBibTeX XMLCite \textit{Yu. A. Kordyukov} and \textit{I. A. Taimanov}, Math. Notes 114, No. 6, 1277--1288 (2023; Zbl 07820498); translation from Mat. Zametki 114, No. 6, 848--862 (2023) Full Text: DOI arXiv
Dobrokhotov, S. Yu.; Tsvetkova, A. V. Global asymptotics for functions of parabolic cylinder and solutions of the Schrödinger equation with a potential in the form of a nonsmooth double well. (English) Zbl 1522.81078 Russ. J. Math. Phys. 30, No. 1, 46-61 (2023). MSC: 81Q05 57R67 33C10 14M25 81Q20 35C20 35P10 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{A. V. Tsvetkova}, Russ. J. Math. Phys. 30, No. 1, 46--61 (2023; Zbl 1522.81078) Full Text: DOI
Vybornyi, E. V.; Rumyantseva, S. V. Semiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\). (English. Russian original) Zbl 1517.81056 Math. Notes 112, No. 5, 642-655 (2022); translation from Mat. Zametki 112, No. 5, 665-681 (2022). MSC: 81Q20 81U26 37D30 17B45 81R30 32A19 14D21 35P15 PDFBibTeX XMLCite \textit{E. V. Vybornyi} and \textit{S. V. Rumyantseva}, Math. Notes 112, No. 5, 642--655 (2022; Zbl 1517.81056); translation from Mat. Zametki 112, No. 5, 665--681 (2022) Full Text: DOI
Klevin, A. I. New integral representations for the Maslov canonical operator on an isotropic manifold with a complex germ. (English) Zbl 1497.81052 Russ. J. Math. Phys. 29, No. 2, 183-213 (2022). MSC: 81Q05 70G10 70H03 53D05 53D12 PDFBibTeX XMLCite \textit{A. I. Klevin}, Russ. J. Math. Phys. 29, No. 2, 183--213 (2022; Zbl 1497.81052) Full Text: DOI
Dobrokhotov, S. Yu.; Sergeev, S. A. Asymptotics of the solution of the Cauchy problem with localized initial conditions for a wave type equation with time dispersion. I: Basic structures. (English) Zbl 1497.81051 Russ. J. Math. Phys. 29, No. 2, 149-169 (2022). MSC: 81Q05 81U30 35Q61 78A25 35P20 35S05 35G16 35B05 70H33 70G10 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{S. A. Sergeev}, Russ. J. Math. Phys. 29, No. 2, 149--169 (2022; Zbl 1497.81051) Full Text: DOI
Klevin, A. I. Uniform asymptotics in the form of Airy functions for bound states of the quantum anisotropic Kepler problem localized in a neighborhood of annuli. (English) Zbl 1487.81093 Russ. J. Math. Phys. 29, No. 1, 47-56 (2022). MSC: 81Q10 70F05 81V45 47A10 70M20 81Q20 33C10 35J10 PDFBibTeX XMLCite \textit{A. I. Klevin}, Russ. J. Math. Phys. 29, No. 1, 47--56 (2022; Zbl 1487.81093) 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
Danilov, V. G.; Rakhel, M. A. Development of Maslov’s approach to the construction of nonoscillating WKB-type solutions. (English) Zbl 1468.35006 Russ. J. Math. Phys. 28, No. 2, 179-187 (2021). MSC: 35A08 35C20 35K65 34E20 81Q20 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{M. A. Rakhel}, Russ. J. Math. Phys. 28, No. 2, 179--187 (2021; Zbl 1468.35006) Full Text: DOI
Perel, M. V. Quasiphotons for the nonstationary 2D Dirac equation. (English. Russian original) Zbl 1479.35713 J. Math. Sci., New York 252, No. 5, 687-694 (2021); translation from Zap. Nauchn. Semin. POMI 483, 178-188 (2019). MSC: 35Q41 81V74 82D80 35C20 35B05 78A25 78A40 PDFBibTeX XMLCite \textit{M. V. Perel}, J. Math. Sci., New York 252, No. 5, 687--694 (2021; Zbl 1479.35713); translation from Zap. Nauchn. Semin. POMI 483, 178--188 (2019) Full Text: DOI
Dobrokhotov, Sergei; Nazaikinskii, Vladimir Fock quantization of canonical transformations and semiclassical asymptotics for degenerate problems. (English) Zbl 1472.81099 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 187-195 (2020). MSC: 81Q20 35L80 81S10 53D12 53D22 PDFBibTeX XMLCite \textit{S. Dobrokhotov} and \textit{V. Nazaikinskii}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 187--195 (2020; Zbl 1472.81099) Full Text: DOI
Klopp, F.; Fedotov, A. A. On the hierarchical behavior of solutions of the Maryland equation in the semiclassical approximation. (English. Russian original) Zbl 1454.81067 Math. Notes 108, No. 6, 906-910 (2020); translation from Mat. Zametki 108, No. 6, 941-946 (2020). MSC: 81Q05 39A12 39A06 37C55 93A13 PDFBibTeX XMLCite \textit{F. Klopp} and \textit{A. A. Fedotov}, Math. Notes 108, No. 6, 906--910 (2020; Zbl 1454.81067); translation from Mat. Zametki 108, No. 6, 941--946 (2020) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V. Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. (English. Russian original) Zbl 1453.81024 Theor. Math. Phys. 204, No. 2, 984-992 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 171-180 (2020). MSC: 81Q10 81Q20 35P05 35B40 33C10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 204, No. 2, 984--992 (2020; Zbl 1453.81024); translation from Teor. Mat. Fiz. 204, No. 2, 171--180 (2020) Full Text: DOI
Shafarevich, A. I.; Shchegortsova, O. A. Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface. (English. Russian original) Zbl 1455.35213 Proc. Steklov Inst. Math. 310, 304-313 (2020); translation from Tr. Mat. Inst. Steklova 310, 322-331 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q41 81Q05 81Q10 81Q20 53D12 35B40 PDFBibTeX XMLCite \textit{A. I. Shafarevich} and \textit{O. A. Shchegortsova}, Proc. Steklov Inst. Math. 310, 304--313 (2020; Zbl 1455.35213); translation from Tr. Mat. Inst. Steklova 310, 322--331 (2020) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. (English. Russian original) Zbl 1450.35119 Comput. Math. Math. Phys. 60, No. 8, 1348-1360 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394-1407 (2020). MSC: 35G10 35Q35 35Q41 35Q61 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Comput. Math. Math. Phys. 60, No. 8, 1348--1360 (2020; Zbl 1450.35119); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394--1407 (2020) Full Text: DOI
Migaeva, A. S.; Pereskokov, A. V. Asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the lower boundaries of spectral clusters. (English. Russian original) Zbl 07215589 Math. Notes 107, No. 5, 804-819 (2020); translation from Mat. Zametki 107, No. 5, 734-751 (2020). MSC: 47Nxx 33Cxx 81Vxx 81Rxx PDFBibTeX XMLCite \textit{A. S. Migaeva} and \textit{A. V. Pereskokov}, Math. Notes 107, No. 5, 804--819 (2020; Zbl 07215589); translation from Mat. Zametki 107, No. 5, 734--751 (2020) Full Text: DOI
Grushin, V. V.; Sergeev, S. A. Asymptotics of the propagation problem for linear waves on a two-dimensional lattice and modified Maslov’s canonical operator. (English) Zbl 1435.81082 Russ. J. Math. Phys. 27, No. 1, 31-47 (2020). MSC: 81Q35 53D12 35C20 35S30 PDFBibTeX XMLCite \textit{V. V. Grushin} and \textit{S. A. Sergeev}, Russ. J. Math. Phys. 27, No. 1, 31--47 (2020; Zbl 1435.81082) 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
Shafarevich, A. I. Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points. (English. Russian original) Zbl 1440.35223 Proc. Steklov Inst. Math. 307, 294-302 (2019); translation from Tr. Mat. Inst. Steklova 307, 319-327 (2019). MSC: 35P05 35B25 35J05 35P15 58J50 81Q10 81Q35 35J10 35P20 81S08 PDFBibTeX XMLCite \textit{A. I. Shafarevich}, Proc. Steklov Inst. Math. 307, 294--302 (2019; Zbl 1440.35223); translation from Tr. Mat. Inst. Steklova 307, 319--327 (2019) Full Text: DOI
Pereskokov, A. V. On the asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the upper boundaries of spectral clusters. (English) Zbl 1426.81057 Russ. J. Math. Phys. 26, No. 3, 391-400 (2019). MSC: 81V45 81V10 81Q10 35P20 PDFBibTeX XMLCite \textit{A. V. Pereskokov}, Russ. J. Math. Phys. 26, No. 3, 391--400 (2019; Zbl 1426.81057) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Klevin, A. I.; Tirozzi, B. Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics. (English. Russian original) Zbl 1393.82023 Theor. Math. Phys. 193, No. 3, 1761-1782 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 409-433 (2017). Reviewer: Vladimir Čadež (Beograd) MSC: 82D10 15A22 35B40 35J47 14C21 81Q20 82D75 35Q82 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 193, No. 3, 1761--1782 (2017; Zbl 1393.82023); translation from Teor. Mat. Fiz. 193, No. 3, 409--433 (2017) Full Text: DOI
Karasev, M. V.; Novikova, E. M.; Vybornyi, E. V. Non-Lie top tunneling and quantum bilocalization in planar Penning trap. (English) Zbl 1383.78017 Math. Notes 100, No. 6, 807-819 (2016). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A37 81R40 PDFBibTeX XMLCite \textit{M. V. Karasev} et al., Math. Notes 100, No. 6, 807--819 (2016; Zbl 1383.78017) Full Text: DOI
Chernyshev, V. L. Semiclassical spectral series of a quantum Schrödinger operator corresponding to a singular circle composed of equilibria. (English) Zbl 1359.81107 Russ. J. Math. Phys. 23, No. 3, 348-354 (2016). MSC: 81Q10 81Q20 PDFBibTeX XMLCite \textit{V. L. Chernyshev}, Russ. J. Math. Phys. 23, No. 3, 348--354 (2016; Zbl 1359.81107) Full Text: DOI
Brüning, J.; Dobrokhotov, S. Yu.; Katsnelson, M. I.; Minenkov, D. S. Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems. (English. Russian original) Zbl 1338.81182 Theor. Math. Phys. 186, No. 3, 333-345 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 386-400 (2016). MSC: 81Q05 81Q20 PDFBibTeX XMLCite \textit{J. Brüning} et al., Theor. Math. Phys. 186, No. 3, 333--345 (2016; Zbl 1338.81182); translation from Teor. Mat. Fiz. 186, No. 3, 386--400 (2016) 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
Levchenko, E. A.; Trifonov, A. Yu.; Shapovalov, A. V. Estimate of accuracy of solution of the nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov equation. (English. Russian original) Zbl 1298.35023 Russ. Phys. J. 55, No. 12, 1425-1433 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47-53 (2012). MSC: 35B65 35G05 81Q20 PDFBibTeX XMLCite \textit{E. A. Levchenko} et al., Russ. Phys. J. 55, No. 12, 1425--1433 (2013; Zbl 1298.35023); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47--53 (2012) Full Text: DOI
Ratiu, T. S.; Suleimanova, A. A.; Shafarevich, A. I. Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold. (English) Zbl 1292.81063 Russ. J. Math. Phys. 20, No. 3, 326-335 (2013). MSC: 81Q35 81Q05 PDFBibTeX XMLCite \textit{T. S. Ratiu} et al., Russ. J. Math. Phys. 20, No. 3, 326--335 (2013; Zbl 1292.81063) Full Text: DOI arXiv
Esina, A. I.; Shafarevich, A. I. Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators. (English) Zbl 1276.81060 Russ. J. Math. Phys. 20, No. 2, 172-181 (2013). MSC: 81Q12 34B24 81S10 53D50 53D12 PDFBibTeX XMLCite \textit{A. I. Esina} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 20, No. 2, 172--181 (2013; Zbl 1276.81060) Full Text: DOI
Kuksin, S. B.; Neishtadt, A. I. On quantum averaging, quantum KAM, and quantum diffusion. (English. Russian original) Zbl 1271.81066 Russ. Math. Surv. 68, No. 2, 335-348 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 145-158 (2013). MSC: 81Q05 34C29 81Q15 81Q20 PDFBibTeX XMLCite \textit{S. B. Kuksin} and \textit{A. I. Neishtadt}, Russ. Math. Surv. 68, No. 2, 335--348 (2013; Zbl 1271.81066); translation from Usp. Mat. Nauk. 68, No. 2, 145--158 (2013) Full Text: DOI arXiv
Pereskokov, A. V. Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters. (English) Zbl 1338.35319 Izv. Math. 77, No. 1, 163-210 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35P20 35Q40 47N50 81Q20 PDFBibTeX XMLCite \textit{A. V. Pereskokov}, Izv. Math. 77, No. 1, 163--210 (2013; Zbl 1338.35319) Full Text: DOI
Zon, B. A.; Kornev, A. S. Semiclassical approximation of the Dirac equation in a central field. (English. Russian original) Zbl 1274.81105 Theor. Math. Phys. 171, No. 1, 478-489 (2012); translation from Teor. Mat. Fiz. 171, No. 1, 65-78 (2012). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{B. A. Zon} and \textit{A. S. Kornev}, Theor. Math. Phys. 171, No. 1, 478--489 (2012; Zbl 1274.81105); translation from Teor. Mat. Fiz. 171, No. 1, 65--78 (2012) Full Text: DOI
Belov, V. V.; Smirnova, E. I.; Trifonov, A. Yu. Semiclassical spectral series for the two-component Hartree-type equation. (English. Russian original) Zbl 1257.81028 Russ. Phys. J. 54, No. 6, 639-648 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 21-29 (2011). MSC: 81Q20 35Q55 81Q10 PDFBibTeX XMLCite \textit{V. V. Belov} et al., Russ. Phys. J. 54, No. 6, 639--648 (2011; Zbl 1257.81028); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 21--29 (2011) Full Text: DOI
Filatova, T. A.; Shafarevich, A. I. Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere. (English. Russian original) Zbl 1298.81069 Theor. Math. Phys. 164, No. 2, 1064-1080 (2010); translation from Teor. Mat. Fiz. 164, No. 2, 279-298 (2010). MSC: 81Q05 81Q20 PDFBibTeX XMLCite \textit{T. A. Filatova} and \textit{A. I. Shafarevich}, Theor. Math. Phys. 164, No. 2, 1064--1080 (2010; Zbl 1298.81069); translation from Teor. Mat. Fiz. 164, No. 2, 279--298 (2010) Full Text: DOI
Cordero-Soto, R.; Suslov, S. K. Time reversal for modified oscillators. (English. Russian original) Zbl 1201.81046 Theor. Math. Phys. 162, No. 3, 286-316 (2010); translation from Teor. Mat. Fiz. 162, No. 3, 345-380 (2010). MSC: 81Q05 35Q55 35Q41 35J08 PDFBibTeX XMLCite \textit{R. Cordero-Soto} and \textit{S. K. Suslov}, Theor. Math. Phys. 162, No. 3, 286--316 (2010; Zbl 1201.81046); translation from Teor. Mat. Fiz. 162, No. 3, 345--380 (2010) Full Text: DOI arXiv
Pozharskii, A. A. Adiabatic asymptotics of reflection coefficients of a quantum electron moving in a two-dimensional waveguide. (English. Russian original) Zbl 1206.81046 J. Math. Sci., New York 156, No. 4, 669-698 (2009); translation from Probl. Mat. Anal. 38, 93-119 (2008). MSC: 81Q37 81U05 82D77 PDFBibTeX XMLCite \textit{A. A. Pozharskii}, J. Math. Sci., New York 156, No. 4, 669--698 (2009; Zbl 1206.81046); translation from Probl. Mat. Anal. 38, 93--119 (2008) Full Text: DOI
Brüning, J.; Dobrokhotov, S. Yu.; Nekrasov, R. V. Quantum dynamics in a thin film. II: Stationary states. (English) Zbl 1182.81038 Russ. J. Math. Phys. 16, No. 4, 467-477 (2009). MSC: 81Q37 82D77 81Q05 PDFBibTeX XMLCite \textit{J. Brüning} et al., Russ. J. Math. Phys. 16, No. 4, 467--477 (2009; Zbl 1182.81038) Full Text: DOI
Krivko, A. V.; Kucherenko, V. V. Asymptotic solution of a linear system with a high-order rotation point. (English. Russian original) Zbl 1327.34107 Dokl. Math. 75, No. 1, 58-61 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 3, 308-311 (2007). MSC: 34E20 81Q10 81Q20 PDFBibTeX XMLCite \textit{A. V. Krivko} and \textit{V. V. Kucherenko}, Dokl. Math. 75, No. 1, 58--61 (2007; Zbl 1327.34107); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 3, 308--311 (2007) 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
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. Representations of rapidly decaying functions by the Maslov canonical operator. (English. Russian original) Zbl 1344.58014 Math. Notes 82, No. 5, 713-717 (2007); translation from Mat. Zametki 82, No. 5, 792-796 (2007). MSC: 58J40 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 82, No. 5, 713--717 (2007; Zbl 1344.58014); translation from Mat. Zametki 82, No. 5, 792--796 (2007) Full Text: DOI
Beilinson, A. A. Fundamental solutions of the equations of quantum mechanics as distributions and distinctive properties of the Dirac equation solutions. (English. Russian original) Zbl 1138.81377 Theor. Math. Phys. 151, No. 2, 681-692 (2007); translation from Teor. Mat. Fiz. 151, No. 2, 287-301 (2007). MSC: 81Q05 81Q10 28C20 70H40 PDFBibTeX XMLCite \textit{A. A. Beilinson}, Theor. Math. Phys. 151, No. 2, 681--692 (2007; Zbl 1138.81377); translation from Teor. Mat. Fiz. 151, No. 2, 287--301 (2007) Full Text: DOI
Belov, V. V.; Maksimov, V. A. Semiclassical quantization of Bohr orbits in the helium atom. (English. Russian original) Zbl 1138.81412 Theor. Math. Phys. 151, No. 2, 659-680 (2007); translation from Teor. Mat. Fiz. 151, No. 2, 261-286 (2007). MSC: 81Q20 81V55 70H20 PDFBibTeX XMLCite \textit{V. V. Belov} and \textit{V. A. Maksimov}, Theor. Math. Phys. 151, No. 2, 659--680 (2007; Zbl 1138.81412); translation from Teor. Mat. Fiz. 151, No. 2, 261--286 (2007) Full Text: DOI
Aksitov, R. I. Permutations of tori in integrable Hamiltonian systems and spectral series of pseudodifferential operators. (English. Russian original) Zbl 1128.37034 Math. Notes 81, No. 2, 156-163 (2007); translation from Mat. Zametki 81, No. 2, 174-183 (2006). MSC: 37J35 37N20 47G30 81R12 PDFBibTeX XMLCite \textit{R. I. Aksitov}, Math. Notes 81, No. 2, 156--163 (2007; Zbl 1128.37034); translation from Mat. Zametki 81, No. 2, 174--183 (2006) Full Text: DOI
Brüning, J.; Nekrasov, R. V.; Shafarevich, A. I. Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field. (English. Russian original) Zbl 1132.81033 Math. Notes 81, No. 1, 28-36 (2007); translation from Mat. Zametki 81, No. 1, 32-42 (2006). Reviewer: Agostino Prástaro (Roma) MSC: 81S10 53D50 35J10 81Q20 PDFBibTeX XMLCite \textit{J. Brüning} et al., Math. Notes 81, No. 1, 28--36 (2007; Zbl 1132.81033); translation from Mat. Zametki 81, No. 1, 32--42 (2006) Full Text: DOI
Belov, V. V.; Smirnova, E. I. Localized asymptotic solutions of the self-consistent field equation. (English. Russian original) Zbl 1115.81031 Math. Notes 80, No. 2, 296-299 (2006); translation from Mat. Zametki 80, No. 2, 309-312 (2006). MSC: 81Q20 78A60 81S30 81V70 PDFBibTeX XMLCite \textit{V. V. Belov} and \textit{E. I. Smirnova}, Math. Notes 80, No. 2, 296--299 (2006; Zbl 1115.81031); translation from Mat. Zametki 80, No. 2, 309--312 (2006) Full Text: DOI
Kryvko, A.; Kucherenko, V. V. Semiclassical asymptotics of the vector Sturm-Liouville problem. (English) Zbl 1124.34061 Russ. J. Math. Phys. 13, No. 2, 188-202 (2006). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L20 34L40 81Q20 PDFBibTeX XMLCite \textit{A. Kryvko} and \textit{V. V. Kucherenko}, Russ. J. Math. Phys. 13, No. 2, 188--202 (2006; Zbl 1124.34061) Full Text: DOI
Lazur, V. Yu.; Reity, O. K.; Rubish, V. V. WKB method for the Dirac equation with a scalar-vector coupling. (English) Zbl 1178.81082 Theor. Math. Phys. 143, No. 1, 559-582 (2005); translation from Teor. Mat. Fiz. 143, No. 1, 83-111 (2005). MSC: 81Q20 PDFBibTeX XMLCite \textit{V. Yu. Lazur} et al., Theor. Math. Phys. 143, No. 1, 559--582 (2005; Zbl 1178.81082); translation from Teor. Mat. Fiz. 143, No. 1, 83--111 (2005) Full Text: DOI
Tudorovskii, T. Ya. On the effect of spin on classical and quantum dynamics of an electron in thin twisted tubes. (English. Russian original) Zbl 1108.81029 Math. Notes 78, No. 6, 883-889 (2005); translation from Mat. Zametki 78, No. 6, 948-953 (2005). MSC: 81Q99 81V99 82D20 81-02 PDFBibTeX XMLCite \textit{T. Ya. Tudorovskii}, Math. Notes 78, No. 6, 883--889 (2005; Zbl 1108.81029); translation from Mat. Zametki 78, No. 6, 948--953 (2005) Full Text: DOI
Elyutin, P. V.; Smirnova, O. V. On the quasi-classical limit of the quadratic susceptibility. (English. Russian original) Zbl 0991.81025 Theor. Math. Phys. 119, No. 1, 471-480 (1999); translation from Teor. Mat. Fiz. 119, No. 1, 93-104 (1999). MSC: 81Q20 37D45 PDFBibTeX XMLCite \textit{P. V. Elyutin} and \textit{O. V. Smirnova}, Theor. Math. Phys. 119, No. 1, 471--480 (1999; Zbl 0991.81025); translation from Teor. Mat. Fiz. 119, No. 1, 93--104 (1999) Full Text: DOI
Buslaeva, M. V.; Buslaev, V. S. Singularities of the Green function of the nonstationary Schrödinger equation. (English. Russian original) Zbl 0920.35008 Funct. Anal. Appl. 32, No. 2, 132-134 (1998); translation from Funkts. Anal. Prilozh. 32, No. 2, 80-83 (1998). MSC: 35A20 81Q05 PDFBibTeX XMLCite \textit{M. V. Buslaeva} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 32, No. 2, 132--134 (1998; Zbl 0920.35008); translation from Funkts. Anal. Prilozh. 32, No. 2, 80--83 (1998) Full Text: DOI
Budaev, Yu. O.; Karavaev, A. G. Quasiclassical trajectory-coherent states for a Caldirola-Kanai oscillator. (English. Russian original) Zbl 0937.81030 Russ. Phys. J. 38, No. 2, 177-185 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 2, 85-89 (1995). MSC: 81R30 81Q05 PDFBibTeX XMLCite \textit{Yu. O. Budaev} and \textit{A. G. Karavaev}, Russ. Phys. J. 38, No. 2, 177--185 (1995; Zbl 0937.81030); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 2, 85--89 (1995) Full Text: DOI
Maslov, V. P. Analytic continuation of asymptotic formulas and axiomatics of thermodynamics and semithermodynamics. (English. Russian original) Zbl 0846.73004 Funct. Anal. Appl. 28, No. 4, 247-256 (1994); translation from Funkts. Anal. Prilozh. 28, No. 4, 28-41 (1994). MSC: 74A15 80A05 81Q20 81S10 PDFBibTeX XMLCite \textit{V. P. Maslov}, Funct. Anal. Appl. 28, No. 4, 247--256 (1994; Zbl 0846.73004); translation from Funkts. Anal. Prilozh. 28, No. 4, 28--41 (1994) Full Text: DOI
Tagirov, È. A. Quantum mechanics in Riemannian space-time. I: A general covariant Schrödinger equation with relativistic corrections. (English. Russian original) Zbl 0888.35124 Theor. Math. Phys. 84, No. 3, 419-430 (1990); translation from Teor. Mat. Fiz. 84, No. 3, 966-974 (1990). MSC: 35Q75 83C47 81Q40 PDFBibTeX XMLCite \textit{È. A. Tagirov}, Theor. Math. Phys. 84, No. 3, 419--430 (1990; Zbl 0888.35124); translation from Teor. Mat. Fiz. 84, No. 3, 966--974 (1990) Full Text: DOI
Delyon, François; Foulon, Patrick Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians. (English) Zbl 0965.37506 J. Stat. Phys. 49, No. 3-4, 829-840 (1987). MSC: 37J40 81Q10 81Q05 70H05 PDFBibTeX XMLCite \textit{F. Delyon} and \textit{P. Foulon}, J. Stat. Phys. 49, No. 3--4, 829--840 (1987; Zbl 0965.37506) Full Text: DOI
Vorob’ev, Yu. M.; Dobrokhotov, S. Yu.; Maslov, V. P. Quasiclassical approximation for models of spin-spin interaction on a one-dimensional lattice. (English) Zbl 0581.58019 J. Sov. Math. 31, 3297-3306 (1985). MSC: 53D50 81T08 PDFBibTeX XMLCite \textit{Yu. M. Vorob'ev} et al., J. Sov. Math. 31, 3297--3306 (1985; Zbl 0581.58019) Full Text: DOI
Vorob’ev, Yu. M.; Dobrokhotov, S. Yu. Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras. (English. Russian original) Zbl 0517.58023 Theor. Math. Phys. 54, 312-314 (1983); translation from Teor. Mat. Fiz. 54, No. 3, 477-480 (1983). MSC: 53D50 37J99 81Q10 PDFBibTeX XMLCite \textit{Yu. M. Vorob'ev} and \textit{S. Yu. Dobrokhotov}, Theor. Math. Phys. 54, 312--314 (1983; Zbl 0517.58023); translation from Teor. Mat. Fiz. 54, No. 3, 477--480 (1983) Full Text: DOI
Merkur’ev, S. P. Structure of the resolvent of the Schrödinger operator for a system of three charged particles. (English) Zbl 0513.47035 J. Sov. Math. 22, 1638-1666 (1983). MSC: 47F05 81V05 47A40 45E05 PDFBibTeX XMLCite \textit{S. P. Merkur'ev}, J. Sov. Math. 22, 1638--1666 (1983; Zbl 0513.47035) Full Text: DOI
Maslov, V. P.; Chebotarev, A. M. Path integral over branching paths. (English. Russian original) Zbl 0476.28007 Theor. Math. Phys. 45, 1058-1069 (1981); translation from Teor. Mat. Fiz. 45, 329-345 (1981). MSC: 28C20 81S40 81Q05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{A. M. Chebotarev}, Theor. Math. Phys. 45, 1058--1069 (1981; Zbl 0476.28007); translation from Teor. Mat. Fiz. 45, 329--345 (1981) Full Text: DOI
Karasev, M. V.; Maslov, V. P. Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. (English. Russian original) Zbl 0482.58029 J. Sov. Math. 15, 273-368 (1981); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 145-267 (1979). MSC: 58J40 35J60 35B40 58J90 81Q10 35Q99 PDFBibTeX XMLCite \textit{M. V. Karasev} and \textit{V. P. Maslov}, J. Sov. Math. 15, 273--368 (1979; Zbl 0482.58029); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 145--267 (1979) Full Text: DOI
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. (English. Russian original) Zbl 0482.58028 J. Sov. Math. 15, 167-273 (1981); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5-144 (1979). MSC: 58J40 35B40 47A60 35S05 81Q10 81S05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, J. Sov. Math. 15, 167--273 (1979; Zbl 0482.58028); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5--144 (1979) Full Text: DOI