We describe \emph{zero range} (contact) interactions, weak and strong. Strong contact leads to the Efimov effect in Low Energy Nuclear Physics, weak contact leads to Bose-Einstein condensation and to the presence of Cooper pairs in superconductivity . In the B-E. case we derive the Gross-Pitayewskii equation. For a condensate of Cooper pairs we derive a \emph{different} cubic local focusing P.D.E. We prove that both strong and weak contact hamiltonians are limits, in strong resolvent sense, of hamiltonians with potentials of very short range. A part form standard tools in Q.M. we use Gamma convergence Contact interactions and Gamma convergence have a role also in Solid State Physics for particles (conduction electrons) which satisfy the Pauli equation and move in the neighborhood of a lattice with $Y$-shaped vertices. The resulting \emph{Fermi sea} is the filling of an Efimov sequence of bound states with $ \frac{1}{\log n}$ rate of decrease of the negative eigenvalues. Contact interactions describe also a \emph{contact} (Nelson) Polaron (massive particle in (contact) interaction with a mass zero field), both relativistic and non-relativistic. We shall describe elsewhere these structures.
本文综述了非常规动力学凝聚与常规玻色-爱因斯坦凝聚的有关结果，包括广义van den Berg-Lewis-Pulé凝聚的情况。该评论是基于两个模型的详细讨论：一个简单的玩具模型和Bogoliubov弱不完美玻色气体模型，这是发明的超流性的液体4 He的解释，但也是有益的非常规冷凝的分析有关的一些最近的解释实验数据。
The equilibrium states for a model with two kinds of Bose condensation
本文研究了由Bru和Zagrebnov定义的玻色气体模型的平衡吉布斯态，该模型具有两个玻色凝聚型的相变。这两种相变对应于两种不同的机制，通过这两种机制可以发生这些冷凝。第一（非常规）玻色凝聚介导的零模相互作用项的哈密顿量。第二个是由于饱和的过渡非常类似于传统的玻色-爱因斯坦（BE）凝聚在理想玻色气体。由于非零模式中的排斥相互作用，该模型表现出广义的III型，即，非广泛BE缩合。我们的主要结果是，在理想玻色气体中，常规凝聚伴随着正则和巨正则系综的强等价性的损失，而非常规的，由于相互作用，不打破系综的等价性。有趣的是，（广义）凝聚的类型，I、II或III（用van den Berg、Lewis和Pule的术语），对系综的等价性没有影响。通过计算对应平衡吉布斯态的正则对易关系（CCR）的循环表示的生成泛函，证明了这些结果。
