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Found 58 Documents (Results 1–58)

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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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
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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
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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
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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
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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
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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).
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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).
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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).
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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
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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
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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).
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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).
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