Using the AIM for solving the non-relativistic wave equation for a new class of infinite one-dimensional well with non-flat bottom

被引：10

作者：

Assi, Ibsal A. ^{[1
]}

Sous, Abdullah J. ^{[2
]}

Ikot, Akpan N. ^{[3
]}

机构：

[1] Mem Univ Newfoundland, Dept Phys & Phys Oceanog, St John, NF A1B 3X7, Canada

[2] Al Quds Open Univ, Fac Technol & Appl Sci, Tulkarm, Palestine

[3] Univ Port Harcourt, Dept Phys, Theoret Phys Grp, Port Harcourt, Nigeria

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 12期

关键词：

ASYMPTOTIC ITERATION METHOD; L-STATE SOLUTIONS; QUANTUM-MECHANICS; SCHRODINGER-EQUATION; DIRAC EQUATIONS; POTENTIALS; ENERGY; SUPERSYMMETRY; EIGENVALUES; EXPANSIONS;

D O I：

10.1140/epjp/i2017-11823-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The main goal of this work is to solve the non-relativistic wave equation for a new potential configuration that describes the quantum states of a particle that lies within a one-dimensional infinite well of width L using the asymptotic iteration method (AIM). This potential was introduced recently by Alhaidari to be added to the class of exactly solvable potentials in the tridiagonal representation approach (TRA). We have obtained the energy eigenvalues for different choices of the potential parameters. A good match between our results and the ones obtained by the TRA together with new results for the energy spectrum have been presented.

引用

页数：5

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