Vladimir Plekhanov graduated from Tartu State University, Talinn, Estonia, in 1968, obtained his Ph.D in Physics in 1972 and Dr. of Science in 1982 (both at Tartu State University). For the past 30 years he has been a member of the Mathematics and Physics Department and a professor of the Mathematics in Computer Science College. His scientific interests concentrate on isotopic materials science and its application in optoelectronics and quantum information. 

Introduction.- Energy Band Structure.- Phonon States in Bulk and Low-Dimensional Structures.- Application of Isotopic Materials Science in Bulk and Low-Dimensional Structures.