Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method
Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method作者机构：Department of Physics Payame Noor University (PNU) Tehran Iran
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2016年第4卷第1期
页 面：130-139页
学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学]
主 题：Quantum Mechanics Eigenenergies Alternative Methods Delta Method
摘 要：In this paper, pursuing a new advised method called Delta method which is basically similar to variational method, we find the ground and excited states, according to a typical quantum Hamiltonian. Moreover, applying this method, the upper bound values for the eigenenergies of the so-called ground and excited states are estimated. We will show that this new method, is as beneficial as the traditional variational method which is common in deriving eigenenergies of some of the quantum Hamiltonians. This method helps physics students to broaden their knowledge about the possible mathematical ways;they can use to obtain eigenenergies of some quantum Hamiltonians. The advantage of Delta method to variational method is in its simplicity and reduction of the calculation procedures.
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