论文标题
哈特里在双井中发挥作用
The Hartree functional in a double well
论文作者
论文摘要
我们考虑在对称双孔电势中用于玻色粒颗粒的非线性Hartree能量。在井分开且潜在的障碍的极限上，我们证明，基态和第一个激发状态是通过在单个井中分别偶尔（奇怪的，奇怪的）叠加来赋予领先秩序的。我们精确地评估了所得的隧道术语分裂相应的能量。
We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are fare apart and the potential barrier is high, we prove that the ground state and first excited state are given to leading order by an even, respectively odd, superposition of ground states in single wells. We evaluate the resulting tunneling term splitting the corresponding energies precisely.
