首页 | 本学科首页   官方微博 | 高级检索  
     


Energy levels of a particle confined in an ellipsoidal potential well
Affiliation:1. Faculty of Exact and Natural Sciences, Tbilisi State University, Tbilisi, 0179, Georgia;2. Physics Department, New York City College of Technology, The City University of New York, Brooklyn, NY 11201, USA;3. Graduate School and University Center, The City University of New York, New York, NY 10016, USA;1. Department of Physics, Faculty of Science, Beirut Arab University, P.O.Box 11 5020 Riad El Solh 11072809 Beirut, Lebanon;2. Department of Physics, Faculty of Science, Alexandria University, Moharram Bek, Alexandria 21511, Egypt;1. Department of Aerospace Engineering, Semnan University, Semnan, Iran;2. Physics Department, Qom Branch, Islamic Azad University, Qom, Iran;3. 316 South Maple Street, Hartford, MI 49057-1225, USA;4. Shahrekord Branch, Islamic Azad University, Shahrekord, Iran;1. Department of Physics, Himachal Pradesh University, Shimla, Himachal Pradesh 171005, India;2. Department of Physics, Govt. College Banjar, Distt. Kullu, Himachal Pradesh 175123, India
Abstract:The Schrödinger equation is solved for a particle confined within the ellipsoidal potential well using the perturbation theory and the Hamiltonian diagonalization method. The explicit expressions are obtained for the energy levels that are size and shape dependent and appropriate wave functions. The calculated energy levels are in a good qualitative and quantitative agreement with the result obtained by numerical solution of the Schrödinger equation. It is revealed that for the lowest states of a given symmetry the region of validity of the perturbation approximation is much larger than it follows from the usual condition of applicability of the perturbation theory. The optical properties of nanoparticles of a prolate and oblate ellipsoidal shape are discussed.
Keywords:Ellipsoidal potential  Nanoparticles  Energy levels  Perturbation theory  Diagonalization method
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号