Models and Methods for Quantum Condensation and Fluids

The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with each self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.

新加坡國立大學數學科學研究所於2019年9月至2020年3月舉辦了一個以量子和動力學問題為主題的專題計劃：建模、分析、數值和應用。作為該計劃的重要組成部分，領先專家為參與的研究生和初級研究人員提供了教程和特別講座。這本寶貴的專輯收集了六篇擴展的講座筆記，每篇都是獨立的教程。內容包括線性和非線性潛能中多維孤子的數學模型和數值方法；帶有偶極-偶極相互作用、高階相互作用和自旋-軌道耦合的玻色-愛因斯坦凝聚（BEC）；經典和量子湍流；以及基於量子化學第一原理的分子動力學過程。這本專輯旨在激勵即將從事這些領域的研究生和研究人員進行原創研究工作。