Quantum theory of two-atom, few-atom, and many-atom systems

提出了双原子、少原子和多原子量子系统的跨学科理论框架的进一步发展和应用。该理论，即多尺度量子缺陷理论，断言这种系统在不同长度尺度上存在普遍性质，并提供了揭示和研究它们的方法。在过去的几年中，它已由P.I.开发，并已明确地在双原子，少原子和多原子量子系统中进行了演示。提出的研究预计将导致研究强耦合多原子量子系统和高激发团簇的新理论框架的发展，包括超越液氦的第一个液体微观量子理论。它还有望大大提高对原子和分子基本过程的理解，包括极性分子的相互作用和散射，以及超低温原子相互作用中非零部分波中的费什巴赫共振。

Further development and application of a cross-discipline theoretical framework fortwo-atom, few-atom, and many-atom quantum systems is proposed. The theory, themultiscale quantum-defect theory, asserts that universal properties exist at differentlength scales for such systems, and provides methods to uncover and study them.It has been developed by the P.I. over the past few years, and has been demonstratedexplicitly for two-atom, few-atom, and many-atom quantum systems. The proposedresearch is expected to lead to the development of a new theoretical framework forstudying strongly-coupled many-atom quantum systems and highly excited clusters,including a first microscopic quantum theory of liquids that goes beyond the liquidhelium. It is also expected to lead to much improved understanding of fundamentalatomic and molecular processes that include, e.g., the interaction and scattering of polarmolecules and the Feshbach resonances in nonzero partial waves inultracold atomic interactions.