The Nonexistence of Vortices for Rotating Bose-Einstein Condensates in Non-Radially Symmetric Traps

Yujin Guo

We consider ground states of rotating Bose-Einstein condensates with attractive interactions in non-radially harmonic traps $V(x)=x_1^2+{\Lambda }^2{x}_2^2$, where $0<\Lambda \ne 1$ and $x=(x_1,…