Mathematical studies in quantum dynamics

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The evolution equations of nonrelativistic quantum physics were formulated in the first part of the 20th century in Nobel prize winning works of Schroedinger, Heisenberg, Dirac, von Neumann, Pauli and others. In the last 20 years mathematical theory of these equations has undergone revolutionary development. At the same time, partly forced by miniturization of electronic and communication devices, new powerful applications of the underlying physical phenomena have arisen. Suddenly, thousands of papers have appeared in Physics and Engineering literature applying these equations in traditionally 'classical' areas of communication, electronics and computing. This development has breathed new life into the well established fields of quantum optics, quantum information theory and theory of semiconductors and has given rise to the new fields of quantum devices and quantum computing.