Speciality:
01.04.02 (Theoretical physics)
E-mail: Keywords: Dirac equation transfer matrix,
WKB-approach,
Wannier–Stark problem,
functional equations,
self-similar fractal potential,
Cantor staircase,
scale invariance,
tunneling time,
coherent superposition of microscopically distinct (sub)states.
Subject:
1. Relativistic quantum mechanics.
2. Quantum-classical problem.
3. Tunneling time problem. Hartman paradox in quantum mechanics and classical electrodynamics.
4. Wannier–Stark problem.
5. Scattering a quantum particle on fractal potentials.
6. Even WKB-series involving classical turning points.
Main publications:
The Stationary Dirac Equation as a Generalized Pauli Equation for Two Quasiparticles. Foundations of Physics, 10.1007/s10701-015-9888-3
From a 1D Completed Scattering and Double Slit Diffraction to the Quantum-Classical Problem for Isolated Systems. Foundations of Physics, DOI: 10.1007/s10701-011-9564-1
Stationary states of an electron in periodic structures in a constant uniform electrical field, J. of Phys.: Condens. Matt., 1998, v. 10, no. 30, p. 6707–6716.
The transfer matrices of the self-similar fractal potential on the Cantor set, J. of Phys. A: Mathematical and General, 2000, v. 33, no. 23, p. 4293–4308.
On the Transfer-Matrix Approach to the Scattering Problem for the Self-Similar Fractal Potential and Cantor Staircase. p-Adic Numbers, Ultrametric Analysis and Applications, 2010, Vol. 2, No. 3, pp. 179–186.
