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Found 204 Documents (Results 1–100)

Resonance fluorescence of polar quantum systems in a bichromatic field. (English. Russian original) Zbl 07824549

Theor. Math. Phys. 217, No. 3, 1827-1841 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 480-498 (2023).
MSC:  81V80 81Q05 81Q10
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Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum. (English. Russian original) Zbl 1520.81114

Theor. Math. Phys. 214, No. 1, 132-151 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 153-176 (2023).
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Schrödinger operator in a half-plane with the Neumann condition on the boundary and a singular \(\delta \)-potential supported by two half-lines, and systems of functional-difference equations. (English. Russian original) Zbl 1519.35078

Theor. Math. Phys. 213, No. 2, 1560-1588 (2022); translation from Teor. Mat. Fiz. 213, No. 2, 287-319 (2022).
MSC:  35J10 35J25 35P99
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Librations with large periods in tunneling: efficient calculation and applications to trigonal dimers. (English. Russian original) Zbl 07608928

Theor. Math. Phys. 213, No. 1, 1453-1476 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 163-190 (2022).
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Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster. (English. Russian original) Zbl 1458.81022

Theor. Math. Phys. 205, No. 3, 1652-1665 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 467-483 (2020).
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Erratum to: “Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity”. (English. Russian original) Zbl 1451.81235

Theor. Math. Phys. 205, No. 1, 1391 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 168 (2020).
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Construction of the Dirac operator on the \(q\)-deformed quantum space \(EAdS^2\) using a generalized \(q\)-deformed Ginsparg-Wilson algebra. (English. Russian original) Zbl 1453.81016

Theor. Math. Phys. 205, No. 1, 1381-1390 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 156-167 (2020).
MSC:  81Q05 81R20 81R50
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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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Threshold effects in a two-fermion system on an optical lattice. (English. Russian original) Zbl 1445.81019

Theor. Math. Phys. 203, No. 2, 648-663 (2020); translation from Teor. Mat. Fiz. 203, No. 2, 251-268 (2020).
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Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential. (English. Russian original) Zbl 1445.81022

Theor. Math. Phys. 202, No. 2, 231-242 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 264-277 (2020).
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Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions. (English. Russian original) Zbl 1445.37044

Theor. Math. Phys. 202, No. 2, 137-149 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 157-169 (2020).
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Inverse spectral problem for the Schrödinger equation with an additional linear potential. (English. Russian original) Zbl 1445.81018

Theor. Math. Phys. 202, No. 1, 58-71 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 66-80 (2020).
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Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021

Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (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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Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions. (Integration of the nonlinear Schr\"{f}inger equation with an additional term in the class of periodic functions.) (English. Russian original) Zbl 1428.35513

Theor. Math. Phys. 199, No. 1, 525-532 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 60-68 (2019).
MSC:  35Q55 35Q53 34B24
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Asymptotic eigenfunctions of the “bouncing ball” type for the two-dimensional Schrödinger operator with a symmetric potential. (English. Russian original) Zbl 1427.81031

Theor. Math. Phys. 199, No. 3, 849-863 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 429-444 (2019).
MSC:  81Q05 35P05 35B40
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Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants. (English. Russian original) Zbl 1419.81011

Theor. Math. Phys. 198, No. 3, 392-411 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 451-472 (2019).
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Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1419.81012

Theor. Math. Phys. 198, No. 3, 363-375 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 418-432 (2019).
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Polarization tensors for massive arbitrary-spin particles and the Behrends-Fronsdal projection operator. (English. Russian original) Zbl 1419.81021

Theor. Math. Phys. 198, No. 1, 89-99 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 101-112 (2019).
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Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber. (English. Russian original) Zbl 1411.81090

Theor. Math. Phys. 197, No. 2, 1626-1634 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 269-278 (2018).
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A direct algorithm for constructing recursion operators and Lax pairs for integrable models. (English. Russian original) Zbl 1454.37062

Theor. Math. Phys. 196, No. 2, 1200-1216 (2018); translation from Teor. Mat. Fiz. 196, No. 2, 294-312 (2018).
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Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene. (English. Russian original) Zbl 1401.82065

Theor. Math. Phys. 196, No. 1, 996-1001 (2018); translation from Teor. Mat. Fiz. 196, No. 1, 64-69 (2018).
MSC:  82D80 81Q05 81U05
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Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. (English. Russian original) Zbl 1398.81083

Theor. Math. Phys. 195, No. 3, 861-873 (2018); translation from Teor. Mat. Fiz. 195, No. 3, 422-436 (2018).
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Unitary representations of the Wigner group \(\operatorname{ISL}(2, \mathbb{C})\) and a two-spinor description of massive particles with an arbitrary spin. (English. Russian original) Zbl 1398.81086

Theor. Math. Phys. 195, No. 3, 779-806 (2018); translation from Teor. Mat. Fiz. 195, No. 3, 331-361 (2018).
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Asymptotic behavior of the spectrum of combination scattering at Stokes phonons. (English. Russian original) Zbl 1387.81398

Theor. Math. Phys. 193, No. 1, 1480-1497 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 84-103 (2017).
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Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations. (English. Russian original) Zbl 1387.81208

Theor. Math. Phys. 193, No. 1, 1444-1463 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 41-64 (2017).
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Adiabatic approximation for the evolution generated by an \(A\)-uniformly pseudo-Hermitian Hamiltonian. (English. Russian original) Zbl 1382.81101

Theor. Math. Phys. 192, No. 3, 1365-1379 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 489-505 (2017).
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Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers. (English. Russian original) Zbl 1349.81096

Theor. Math. Phys. 188, No. 2, 1210-1235 (2016); translation from Teor. Mat. Fiz. 188, No. 2, 288-317 (2016).
MSC:  81Q10 81U30
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Bound states of the Schrödinger operator of a system of three bosons on a lattice. (English. Russian original) Zbl 1348.81238

Theor. Math. Phys. 188, No. 1, 994-1005 (2016); translation from Teor. Mat. Fiz. 188, No. 1, 36-48 (2016).
MSC:  81Q10 81V70 81Q35
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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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Pauli isotonic oscillatorwith an anomalous magnetic moment in the presence of the Aharonov-Bohm effect: Laplace transform approach. (English. Russian original) Zbl 1338.81193

Theor. Math. Phys. 186, No. 2, 286-293 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 330-339 (2016).
MSC:  81Q05 81Q10
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Bound states of a two-boson system on a two-dimensional lattice. (English. Russian original) Zbl 1338.81195

Theor. Math. Phys. 186, No. 2, 231-250 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 272-292 (2016).
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Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension \(D\). (English. Russian original) Zbl 1335.81073

Theor. Math. Phys. 185, No. 1, 1454-1461 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 109-117 (2015).
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Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in \(D\)-dimensional space. (English. Russian original) Zbl 1325.81081

Theor. Math. Phys. 184, No. 1, 996-1010 (2015); translation from Teor. Mat. Fiz. 184, No. 1, 117-133 (2015).
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Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription. (English. Russian original) Zbl 1325.81076

Theor. Math. Phys. 184, No. 1, 986-995 (2015); translation from Teor. Mat. Fiz. 184, No. 1, 106-116 (2015).
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Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1319.81038

Theor. Math. Phys. 182, No. 3, 381-396 (2015); translation from Teor. Mat. Fiz. 182, No. 3, 435-452 (2015).
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Schrödinger operator with a superposition of short-range and point potentials. (English. Russian original) Zbl 1327.81196

Theor. Math. Phys. 183, No. 1, 527-539 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 90-104 (2015).
MSC:  81Q10 35J10 35J08
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Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle. (English. Russian original) Zbl 1327.81200

Theor. Math. Phys. 183, No. 1, 516-526 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 78-89 (2015).
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Self-consistent approach to the description of relaxation processes in classical multiparticle systems. (English. Russian original) Zbl 1320.82045

Theor. Math. Phys. 183, No. 1, 449-477 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 3-35 (2015).
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Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice. (English. Russian original) Zbl 1308.81081

Theor. Math. Phys. 180, No. 3, 1040-1050 (2014); translation from Teor. Mat. Fiz. 180, No. 3, 329-341 (2014).
MSC:  81Q05 81Q10
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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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Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1298.81086

Theor. Math. Phys. 178, No. 3, 336-346 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 390-402 (2014).
MSC:  81Q10 81Q35 39A12
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Asymptotic behavior of eigenvalues of the two-particle discrete Schrödinger operator. (English. Russian original) Zbl 1286.81076

Theor. Math. Phys. 176, No. 3, 1184-1193 (2013); translation from Teor. Mat. Fiz. 176, No. 3, 417-428 (2013).
MSC:  81Q10 39A12
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Faddeev eigenfunctions for two-dimensional Schrödinger operators via the moutard transformation. (English. Russian original) Zbl 1286.81072

Theor. Math. Phys. 176, No. 3, 1176-1183 (2013); translation from Teor. Mat. Fiz. 176, No. 3, 408-416 (2013).
MSC:  81Q05 81Q10
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Splitting of lower energy levels in a quantum double well in a magnetic field and tunneling of wave packets in nanowires. (English. Russian original) Zbl 1286.81057

Theor. Math. Phys. 175, No. 2, 620-636 (2013); translation from Teor. Mat. Fiz. 175, No. 2, 206-225 (2013).
MSC:  81Q05
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Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator. (English. Russian original) Zbl 1282.81079

Theor. Math. Phys. 171, No. 3, 800-811 (2012); translation from Teor. Mat. Fiz. 171, No. 3, 438-451 (2012).
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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
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Perturbation of a periodic operator by a narrow potential. (English. Russian original) Zbl 1280.81055

Theor. Math. Phys. 173, No. 1, 1438-1444 (2012); translation from Teor. Mat. Fiz. 173, No. 1, 127-134 (2012).
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Essential and discrete spectra of the three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1274.81073

Theor. Math. Phys. 170, No. 3, 341-353 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 409-422 (2012).
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Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1274.81084

Theor. Math. Phys. 170, No. 3, 326-340 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 393-408 (2012).
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Solutions of the Klein-Gordon equation on manifolds with variable geometry including dimensional reduction. (English. Russian original) Zbl 1274.81074

Theor. Math. Phys. 167, No. 2, 680-691 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 323-336 (2011).
MSC:  81Q05 81Q35 81Q10
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Generalized Foldy-Wouthuysen transformation and pseudodifferential operators. (English. Russian original) Zbl 1274.81069

Theor. Math. Phys. 167, No. 2, 547-566 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 171-192 (2011).
MSC:  81Q05 35S05 35J10
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Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in \(2+1\) dimensions. (English. Russian original) Zbl 1274.81079

Theor. Math. Phys. 169, No. 3, 1683-1703 (2011); translation from Teor. Mat. Fiz. 169, No. 3, 368-390 (2011).
MSC:  81Q05 81Q10 35J10
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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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Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles. (English. Russian original) Zbl 1255.81136

Theor. Math. Phys. 164, No. 3, 1110-1127 (2010); translation from Teor. Mat. Fiz. 164, No. 3, 333-353 (2010); erratum ibid. 166, No. 2, 278 (2011); translation from Teor. Mat. Fiz. 166, No. 2, 320 (2011).
MSC:  81Q05 81Q70 81R25
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Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice. (English. Russian original) Zbl 1196.81123

Theor. Math. Phys. 163, No. 1, 429-437 (2010); translation from Teor. Mat. Fiz. 163, No. 1, 34-44 (2010); erratum ibid. 163, No. 2, 696 (2010).
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Lower bound on the spectrum of the two-dimensional Schrödinger operator with a \(\delta \)-perturbation on a curve. (English. Russian original) Zbl 1196.81109

Theor. Math. Phys. 162, No. 3, 332-340 (2010); translation from Teor. Mat. Fiz. 162, No. 3, 397-407 (2010).
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Scattering of a neutral fermion with anomalous magnetic moment by a charged straight thin thread. (English. Russian original) Zbl 1183.81117

Theor. Math. Phys. 161, No. 2, 1503-1512 (2009); translation from Teor. Mat. Fiz. 161, No. 2, 212-223 (2009).
MSC:  81U05 81Q05
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