标题： 盒中具有Neumann边界条件的玻色气体 显示英文标题

标题： The Bose gas in a box with Neumann boundary conditions

摘要： 我们考虑一个被限制在具有Neumann边界条件的盒子中的玻色子气体。 我们在Gross-Pitaevskii区域内证明了玻色-爱因斯坦凝聚，并给出了凝聚体耗损的最优界限。 我们在盒子中的基态能量的下界意味着（通过Neumann夹逼）在热力学极限下玻色气体的基态能量的下界。 显示英文摘要

摘要： We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose gas in the thermodynamic limit.