Mihail Nedjalkov, born in Sofia, Bulgaria received a master's degree in semiconductor physics at the Sofia University “Kl. Ohridski”, a PhD degree (1990), habilitation (2001) and D.Sc. degree (2011) at the Bulgarian Academy of Sciences (BAS). He is Associate Professor at the Institute of Information and Communication Technologies, BAS, and has held visiting research positions at the University of Modena (1994), University of Frankfurt (1998), Arizona State University (2004) and mainly at the Institute for Microelectronics, Technische Universität Wien. Nedjalkov has been supported by the following European and Austrian projects: EC Project NANOTCAD (2000-03), Österreichische Forschungsgemeinschaft MOEL 239 and 173 (2007-08), FWF (Austrian Science Fund) P-13333-TEC (1998-99) START (2005-06), and P21685 'Wigner-Boltzmann Particle Simulations' (2009-2014). He has served as a lecturer at the 2004 International School of Physics 'Enrico Fermi', Varenna, Italy. He is a member of the Italian Physical Society, APS and AMS reviewer. His research interests include physics and modeling of classical and quantum carrier transport in semiconductor materials, devices and nanostructures, collective phenomena, theory and application of stochastic methods.
The Wigner function resembles many concepts and notions of the classical statistical mechanics. The analogy with the classical distribution function becomes even closer if a particle picture is associated to the Wigner formalism. General quantum phenomena may be modeled in terms of quasi-particles involving attributes such as drift, generation, sign, and annihilation on a phase space grid. These concepts provide both, a heuristic picture of quantum evolution numerical feasibility of the developed Monte Carlo method. The particle model is examined in an ultimate regime of a constant electric force, where classical and quantum dynamics become equivalent. It is interesting to see how the usual Newtonian motion in the momentum space of an initial peak of particles is resembled by processes of annihilation and generation of quasi-particles, which reside on a momentum grid and can not gain or lose momentum. The first applications to carrier transport in multidimensional structures are already a fact showing promising practical aspects of the approach. The strong formal similarity between the Wigner generation and annihilation of signed particles and the physical processes of absorption and emission of phonons by the lattice motivates the extension of the approach to phonon transport.