The problem of a polaron in quantum dot is retrieved using a modified LLP approach. The modification is intended to interpolate between the strong- and the weak-coupling limits of the problem. The polaronic effect is found to be more important for small dot sizes.

The confined optical polaron is investigated within the framework of an improved variational technique yielding a unified characterization of problem for all the coupling strengths. The ground state energy is studied as a function of the effective dimensionality of the quantum well to interpolate between all possible confinement geometries. تم دراسة مسألة البلارون الضوئي المحصور باستخدام طريقة معدلة لنظرية LLP بحيث تكون الطريقة صالحة لجميع قيم ثابت الربط بين الإلكترونات والفونونات. تم دراسة تأثير الأبعاد الفعالة للحفر الكمية على طاقة المستوى الأرضي بهدف الربط بين جميع الأشكال.

The problem of a polaron in a quantum slab-like confinement is retrieved using a modified LLP approach. The proposed modification is intended to interpolate between the strong and weak-coupling limits of the problem. It is found that the binding energy increases with decreasing thickness of the slab as well as with increasing coupling constant. The polaronic effect becomes more important with decreasing thickness of the slab.