A. I. Breev, R. Ferreira, D. M. Gitman, B. L. Voronov, “Spektry elektronnykh vozbuzhdenii v grafene v okrestnosti kulonovskikh primesei”, ZhETF, 157:5 (2020), 847–876 , arXiv: https://arxiv.org/1912.01322
A. I. Breev, A. V. Shapovalov, “Non-commutative integration of the Dirac equation in homogeneous spaces”, Symmetry, 12:11 (2020), 1867 (Published online) , arXiv: https://arxiv.org/abs/2011.06401
A. I. Breev, A. V. Shapovalov, “Vacuum quantum effects on Lie groups with bi-invariant metrics”, International Journal of Geometric Methods in Modern Physics, 16:8 (2019), 1950122 , 25 pp., arXiv: https://arxiv.org/abs/1906.01826
A.I. Breev and A.E. Shabad, “Interaction between two point-like charges in nonlinear electrostatics”, The European Physical Journal C, 78:39 (2018) , 10 pp., arXiv: arXiv:1709.08822
A. I. Breev, D. M. Gitman, “Resonant entanglement of photon beams by a magnetic field”, The European Physical Journal C, 84:162 (2024) (to appear) , 10 pp.
2.
A. I. Breev, K. V. Vasilev, A. V. Shapovalov, “Rasshirenie simmetrii i obobschennye invariantno-gruppovye resheniya uravneniya teploprovodnosti i uravneniya Byurgersa”, Izvestiya vysshikh uchebnykh zavedenii. Fizika., 67:1 (2024), 99–108
3.
A. I. Breev, S. P. Gavrilov, D. M. Gitman, “Vacuum instability in QED with an asymmetric x step: New example of an exactly solvable case”, Physical Review D, 109:11 (2024) , 18 pp.
A. V. Shapovalov, A. I. Breev, “Harmonic oscillator coherent states from the standpoint of orbit theory”, Symmetry, 15:2 (2023) (Published online) , 11 pp.
A. I. Breev, S. P. Gavrilov, D. M. Gitman, “Calculations of vacuum mean values of spinor field current and energy-momentum tensor in a constant electric background”, The European Physical Journal C, 83:108 (2023) , 16 pp.
T. C. Adorno, A. I. Breev, J. Farias A. D., D. M. Gitman, “Electromagnetic Radiation of Accelerated Charged Particle in the Framework of a Semiclassical Approach”, ANNALEN DER PHYSIK, 2023, 2300118 , 13 pp.
9.
T. K. Adorno, A. I. Breev, D. M. Gitman, “Kvaziklassicheskoe opisanie elektromagnitnogo izlucheniya uskorennykh zaryadov”, Prostranstvo, vremya i fundamentalnye vzaimodeistviya, 2023, no. 3–4, 12–20 (to appear)
2022
10.
A. I. Breev, D. M. Gitman, “Light beam interacting with electron medium: exact solutions of the model and their possible applications to photon entanglement problem”, The European Physical Journal Plus, 137:8 (2022), 968 (Published online)
11.
A. I. Breev, S. P. Gavrilov, D. M. Gitman, “Singulyarnye funktsii spinornogo polya v KED s silnym vneshnim polem”, ZhETF, 161:2 (2022), 189–205
12.
A. I. Breev, A. V. Shapovalov, D. M. Gitman, “Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups”, Universe, 8:9 (2022), 445
2021
13.
A. I. Breev, D. M. Gitman, “Massless Electronic Excitations in Graphene Near Coulomb Impurities”, J. Exp. Theor. Phys., 132 (2021), 941–959
14.
A. I. Breev, S. P. Gavrilov, D. M. Gitman and A. A. Shishmarev, “Vacuum instability in time-dependent electric fields: New example of an exactly solvable case”, Physical Review D, 104:076008 (2021), 10.1103/PhysRevD.104.076008 (Published online) , 14 pp.
2020
15.
A. I. Breev, R. Ferreira, D. M. Gitman, B. L. Voronov, “Spektry elektronnykh vozbuzhdenii v grafene v okrestnosti kulonovskikh primesei”, ZhETF, 157:5 (2020), 847–876 , arXiv: https://arxiv.org/1912.01322
16.
A. I. Breev, S. P. Gavrilov, D. M. Gitman, “In- and out-states of scalar particles confined between two capacitor plates”, Physics of Complex Systems, 1:1 (2020), 30–39 (Published online)
A. I. Breev, A. V. Shapovalov, “Non-commutative integration of the Dirac equation in homogeneous spaces”, Symmetry, 12:11 (2020), 1867 (Published online) , arXiv: https://arxiv.org/abs/2011.06401
A. I. Breev, A. V. Shapovalov, “Vacuum quantum effects on Lie groups with bi-invariant metrics”, International Journal of Geometric Methods in Modern Physics, 16:8 (2019), 1950122 , 25 pp., arXiv: https://arxiv.org/abs/1906.01826
D. A. Ivanov, A. I. Breev, “Nekommutativnoe integrirovanie uravneniya Kleina-Gordona v elektromagnitnykh polyakh, dopuskayuschikh funktsionalnyi proizvol”, Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika., 62:12 (2019), 12–20
2018
20.
A.I. Breev and A.E. Shabad, “Interaction between two point-like charges in nonlinear electrostatics”, The European Physical Journal C, 78:39 (2018) , 10 pp., arXiv: arXiv:1709.08822
A. V. Shapovalov, A. I. Breev, “Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field”, International Journal of Geometric Methods in Modern Physics, 15:1850085 (2018), 1–26 (Published online)
D. A. Ivanov, A. I. Breev, “Nekommutativnaya reduktsiya uravneniya Blokha na gruppe Geizenberga-Veilya”, Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika., 61:3 (2018), 143–150
2016
23.
A. I. Breev, A. V. Shapovalov, “The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration”, XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23), Journal of Physics: Conference Series, 670, 2016, 012015 (Published online)
A. I. Breev, A. V. Shapovalov, A. V. Kozlov, “Integration the relativistic wave equations in bianchi ix cosmology model”, Computer Research and Modeling, 8:3 (2016), 433–443
25.
A. I. Breev, E. A. Mosman, “Noncommutative integration and symmetry algebra of the Dirac equation on the Lie groups”, Russian Physics Journal, 59:8 (2016), 1153–1163 (to appear)
2017
26.
A. I. Breev, A. V. Shapovalov, “Noncommutative integrability of the Klein-Gordon and Dirac equations in (2+1)-dimensional spacetime”, Russian Physics Journal, 59:11 (2017), 1956–1961
2016
27.
A. I. Breev, A. E. Shabad, “Discreteness of Point Charge in Nonlinear Electrodynamics”, Bled Workshops in Physics, 17:17 (2016), 191–200 , arXiv: arXiv:1611.06326v1
2017
28.
A. I. Breev, A. A. Magazev, “Integration of the Dirac equation on Lie groups in an external electromagnetic field admitting a noncommutative symmetry algebra”, Russian Physics Journal, 2017 (to appear)
2016
29.
A. I. Breev, A. V. Kozlov, “Vacuum Averages of the Energy-Momentum Tensor of a Scalar Field in Homogeneous Spaces with a Conformal Metric”, Source of the Document Russian Physics Journal, 58:9 (2016), 1248–1257 (to appear)
2015
30.
A. I. Breev, A. V. Shapovalov, “Vacuum polarization of scalar field on lie groups with bi-invariantmetric”, Computer Research and Modeling, 7:5 (2015), 989–999
2014
31.
A. I. Breev, “Scalar field vacuum polarization on homogeneous spaces with an invariant metric”, Theoret. and Math. Phys., 178:1 (2014), 59–75
32.
A.I. Breev, “Schrodinger Equation with Convolution Nonlinearity on Lie Groups and Commutative Homogeneous Spaces”, Russian Physics Journal, 57:8 (2014), 1050–1058
33.
A. I. Breev, A. V. Shapovalov, “Yang–Mills gauge fields conserving the symmetry algebra of the Dirac equation in a homogeneous space”, XXII International Conference on Integrable Systems and Quantum Symmetries (ISQS-22) (Prague, 23–29 June 2014), Journal of Physics: Conference Series, 563, IOP Publishing, 2014, 012004
A. I. Breev, A. .V. Shapovalov, “A spectrum of the dirac operator with an external Yang-Mills gauge field on de Sitter space”, Tomsk State Pedagogical University Bulletin, 153:12 (2014), 25–27
2013
35.
A. I. Breev, “Metod obobschennoi dzeta-funktsii dlya skalyarnogo polya na odnorodnykh prostranstvakh s invariantnoi metrikoi i nulevym defektom”, Izvestiya Tomskogo Politekhnicheskogo Universiteta, 322:2 (2013), 36–40
36.
A. I. Breev, M. M. Goncharovskii, I. V. Shirokov, “Klein–Gordon equation with a special type of nonlocal nonlinearity in commutative homogeneous spaces with invariant metric”, Russian Physics Journal, 56:7 (2013), 731-739http://link.springer.com/article/10.1007
2011
37.
A. I. Breev, I. V. Shirokov, A. A. Magazev, “Vacuum polarization of a scalar field on Lie groups and homogeneous spaces”, Theoret. and Math. Phys., 167:1 (2011), 468–483
2010
38.
A. I. Breev, “Vacuum polarization of a scalar field on the nonunimodular lie groups”, Russian Physics Journal, 53:4 (2010), 421–430
39.
A. I. Breev, One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics, 2010 , 14 pp., arXiv: arXiv:1012.5610
2009
40.
A. I. Breev, I. V. Shirokov, “Polarization of a spinor field vacuum on manifolds of the lie groups”, Russian Physics Journal, 52:8 (2009), 823–832
2007
41.
A. I. Breev, I. V. Shirokov, D, N. Razumov, “Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold R⊗G”, Russian Physics Journal, 50:10 (2007), 1012–1020
2006
42.
A. I. Breev, “Usloviya izlucheniya dlya vtorogo operatora Diraka”, Vestnik Omskogo universiteta, 2006, no. 2, 38–40
2005
43.
A. I. Breev, V. V. Klishevich, “O kvaternionnoi forme uravneniya Diraka”, Matematicheskie struktury i modelirovanie, 2005, no. 15, 66–73
2024
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