Scientific Group "Theoretical and Mathematical Physics"

During the last decade, a technological breakthrough has taken place in generating new particle beams possessing non-trivial topologies of a wave front, with vortex photons, electrons, and neutrons carrying orbital angular momentum and Airy beams being the simplest examples. Their quantum states cannot be described as delocalized plane waves, or even as the Gaussian packets, and their wave functions possess phases, which can be singular. In 2011 vortex electrons were focused to a spot of 0.1 nm in diameter, which opens up new perspectives for atomic physics and nanotechnologies. Potential applications of such beams in basic and applied research, such as particle physics, atomic and nuclear physics, material physics, biology, medicine, etc., are being widely discussed; however, their development is hindered by the lack of a quantum scattering and radiation theory of the sub-nm sized wave packets because the customary models of quantum mechanics have been elaborated only within a plane-wave approximation. Our group studies processes of quantum scattering and radiation beyond this approximation, that is, when the particles are describes by well-normalized wave packets. We employ methods and ideas of particle physics, quantum optics, and mathematical physics.

Research topics

- Quantum Mechanics and Field Theory with Wave Packets
- Quantum Scattering and Radiation beyond the Plane-Wave Approximation
- Basic Properties of Wave Packets
- QED and QCD with Wave Packets
- Physics of Vortex Particles with Orbital Angular Momentum
- Methods of Quantum Optics in Particle Physics

Members

Dr. Dmitry V.Karlovets
Dr. Peter Kazinski
Dr. Oleg Bogdanov
Dr. Alexei Zhevlakov
Dr. Elena Mosman
Sergei Abdrashitov

Recent publications

- O. V. Bogdanov, P. O. Kazinski, and G. Yu. Lazarenko, Probability of radiation of twisted photons by classical currents, Phys. Rev. A 97, 033837 (2018); DOI: 10.1103/PhysRevA.97.033837
- Dmitry Karlovets, Quantum scattering beyond the plane-wave approximation, J. Phys.: Conf. Ser. 938, 012031 (2017); doi:10.1088/1742-6596/938/1/012031
- F. Karbstein, E.A. Mosman, Photon polarization tensor in pulsed Hermite- and Laguerre-Gaussian beams, Phys. Rev. D 96, 116004 (2017); DOI: 10.1103/PhysRevD.96.116004
- F. Karbstein, E.A. Mosman, Photon polarization tensor in circularly polarized Hermite- and Laguerre-Gaussian beams, Modern Physics Letters A 33, Nos. 7 & 8, 1850044 (2018); DOI: 10.1142/S021773231850044X
- D.V. Karlovets, G.L. Kotkin, V.G. Serbo, A. Surzhykov, Scattering of twisted electron wave packets by atoms in the Born approximation, Physical Review A 95, 032703 (2017)
- D.V. Karlovets, Scattering of wave packets with phases, Journal of High Energy Physics 03, 049 (2017)
- D.V. Karlovets, Probing phase of a scattering amplitude beyond the plane-wave approximation, Europhysics Letters 116, 31001 (2016)

Projects

"Quantum dynamics of beams with phases and its applications", Russian Science Foundation, No.17-72-20013, 2017-2020, coordinator: Dmitry Karlovets

Address
Office 128
Phone: +7 (3822) 529-843
Fax: +7 (3822) 529-651
Novosobornaya sq 1, 634050 Tomsk, Russia
For correspondence: Lenina Ave. 36, 634050 Tomsk, Russia