Ground state energy of excitons in quantum dot treated variationally via Hylleraas-like wavefunction

作     者：S. Sakiroglu . Dogan A. Yιldιz K. Akgngr H. Epik Y. Ergn H. Sarι . Skmen 

作者机构：Physics Department Dokuz Eyll University Physics Department Anadolu University Physics Department Cumhuriyet University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2009年第18卷第4期

页      面：1578-1585页

核心收录：

学科分类：080903[工学-微电子学与固体电子学] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

主　　题：exciton parabolic confinement variational method Hylleraas coordinates 

摘      要：In this work, the effects of quantum confinement on the ground state energy of a correlated electron-hole pair in a spherical and in a disc-like quantum dot have been investigated as a function of quantum dot size. Under parabolic confinement potential and within effective mass approximation Ritz＇s variational method is applied to Hylleraas-like trial wavefunction. An efficient method for reducing the main effort of the calculation of terms like τekh exp （-λτeh） is introduced. The main contribution of the present work is the introduction of integral transforms which provide the calculation of expectation value of energy and the related matrix elements to be done analytically over single-particle coordinates instead of Hvlleraas coordinates.