2 papers
math-ph2025
Mathematical and numerical studies on ground states of trapped unitary Fermi gases
Yongyong Cai, Xinran Ruan, Yanzhi Zhang
We mathematically and numerically study the ground states of unitary Fermi gases. Starting from the three-dimensional nonlinear Schrödinger equation that contains a quantum pressu…
math.NA2025
Efficient and stable diffusion generated methods for ground state computation in Bose--Einstein condensates
Jing Guo, Yongyong Cai, Dong Wang
This paper investigates numerical methods for approximating the ground state of Bose--Einstein condensates (BECs) by introducing two relaxed formulations of the Gross--Pitaevskii e…