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math-ph2026
Ground states and droplet regimes of the extended Gross-Pitaevskii equation with Lee-Huang-Yang correction
Weijie Huang, Yang Liu, Xinran Ruan
We study the ground states of the extended Gross--Pitaevskii equation with the Lee--Huang--Yang correction from both theoretical and numerical perspectives. Starting from the three…
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 pressur…