منابع مشابه
Algebraic treatment of the confluent Natanzon potentials
Using the so(2, 1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green’s function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases....
متن کاملShape Invariant Natanzon Potentials from Potential Algebra
Using the underlying algebraic structures of Natanzon potentials, we discuss conditions that generate shape invariant potentials. In fact, these conditions give all the known shape invariant potentials corresponding to a translational change of parameters. We also find that while the algebra for the general Natanzon potential is SO(2, 2), a subgroup SO(2, 1) suffices for all the shape invariant...
متن کاملThe Hierarchy of Hamiltonians for a Restricted Class of Natanzon Potentials
In particular, there have been studies within Supersymmetric Quantum Mechanics formalism. Cooper et al, [6], for instance, investigated the relationship between shape invariance and exactly analytical solvable potentials and showed that the Natanzon potential is not shape invariant although it has analytical solutions for the associated Schr odinger equation. L evai et al, [7], have determined...
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In this paper, we will present advanced discretization methods for solving retarded potential integral equations. We employ a C∞-partition of unity method in time and a conventional boundary element method for the spatial discretization. One essential point for the algorithmic realization is the development of an e cient method for approximation the elements of the arising system matrix. We pre...
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این پایان نامه بدنبال بررسی کاربرد ارزیابی مستمر در یک محیط یادگیری زبان دوم از طریق طرح چهار سوال تحقیق زیر بود: (1) درک توانایی های فراگیران زمانیکه که از طریق برآورد عملکرد مستقل آنها امکان پذیر نباشد اما در طول جلسات ارزیابی مستمر مشخص شوند; (2) امکان تقویت توانایی های فراگیران از طریق ارزیابی مستمر; (3) سودمندی ارزیابی مستمر در هدایت آموزش فردی به سمتی که به منطقه ی تقریبی رشد افراد حساس ا...
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ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2016
ISSN: 2190-5444
DOI: 10.1140/epjp/i2016-16342-9