Integration of relativistic wave equations. Coherent states of quantum systems. Quantum field theory in curved space-time. Quantum electrodynamics in a strong field. Nonlinear equations of mathematical physics.
Main publications:
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
