哈特里函数在双井中
The Hartree functional in a double well
摘要：
本文研究了对称双势阱中玻色子的非线性Hartree能量。在阱相距较远且势垒较高的极限下，我们证明了基态和第一激发态分别由单阱中基态的偶、奇、叠加而成.我们评估由此产生的隧道项分裂相应的能量精确。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
