报告人：陈巩教授 (Prof. Goong Chen, Texas
题目：Mathematical Analysis of the Dimensional Scaling Method in Chemical Physics
摘要：The dimensional scaling (D-scaling) technique is an innovative asymptotic method to study the multiparticle systems in molecular quantum mechanics. Its idea originated from quantum chromodynamics where a particle in 3-dimension is imbedded in N-dimension and N is to tend to infinity. It enables the calculation of ground and excited state energies of quantum systems without having to solve the Schrödinger equation. In this talk, we present a mathematical analysis of the D-scaling technique for the Schrödinger equation for the hydrogen atom and
for the power-law potentials. By casting the D-scaling technique in an appropriate variational setting and studying the corresponding minimization problem, the D-scaling technique is justified rigorously. A new asymptotic dimensional expansion scheme is introduced to compute asymptotic expansions for ground state energies.
报告人简介：Goong Chen教授 1950出生在台湾,1972年本科毕业于台湾清华大学,1977年博士毕业于美国 University of Wisconsin at Madison,导师是David Russell教授。1977-1987年 先后在Southern Illinois University at Carbondale (1977–78), and the Pennsylvania State University at University Park (1978-87)