Chen, Yu HsinYu HsinChenWu, I. HuanI. HuanWuSHENG-DER CHAO2024-04-172024-04-172024-03-012073-8994https://scholars.lib.ntu.edu.tw/handle/123456789/641939Based on the idea of adiabatic symmetry, we present a novel basis set expansion method—the kinetic energy partition (KEP) method—for solving quantum eigenvalue problems. Broken symmetry is responsible for quantum entanglement in many-body systems via parametric non-adiabatic corrections. Starting from simple one-particle-in-one-dimension problems, we gradually increase the complexity in the number of particles and the interaction patterns. Our goal in the mini-review is to advocate for the utility of the KEP method in front-line research, in particular for research beginners in quantum many-body problems.kinetic energy partition | moshinsky atoms | quantum many-body system | ultracold quantum physicsother10.3390/sym160302902-s2.0-85188883452https://api.elsevier.com/content/abstract/scopus_id/85188883452