Mathematical Sciences: Resonances in Coulomb-Like Quantum Systems with External Field

该职业进阶奖支持Shubov教授研究具有库仑势的薛定谔算子共振的渐近行为。Shubov教授还打算研究多粒子量子系统。现代物理学，量子力学和相对论，是二十世纪的产物。它牢固地建立在上个世纪对物质微观结构的研究和对超距作用、电磁和热辐射等概念的理解上。这些发展的数学基础，统称为数学物理学，范围从控制粒子动力学的薛定谔算符的详细分析，到试图将四种已知力统一为单一理论的统一场论。

This career advancement award supports the research of Professor Shubov to study the asymptotic behavior of resonances for Schrodinger operators with Coulomb-like potentials. Professor Shubov also intends to investigate many-particle quantum systems. Modern physics, quantum mechanics and relativity, is a product of the twentieth century. It is founded firmly in the last century's attempt to address the microstructure of matter and to come to grips with the concepts of action-at-a distance, electro- magnetism, and heat radiation. The mathematical foundations for these developments, collectively called mathematical physics, ranges from detailed analysis of Schrodinger operators, which governs the dynamics of particles, to unified field theory, which attempts to unite the four known forces into a single theory.