SWKB and proper quantization conditions for translationally shape-invariant potentials

被引：1

作者：

Mahdi, Kamal ^{[1
]}

Kasri, Y. ^{[1
,2
]}

Grandati, Y. ^{[2
]}

Berard, A. ^{[2
]}

机构：

[1] Univ Bejaia, Fac Sci Exactes, Lab Phys Theor, Bejaia 06000, Algeria

[2] Univ Lorraine, IF CNRS 2843, ICPMB, Equipe BioPhysStat,Lab LCP A2MC, 1 Bvd DF Arago, F-57078 Metz, France

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 08期

关键词：

EXACTLY SOLVABLE POTENTIALS; HAMILTON-JACOBI FORMALISM; ORTHOGONAL POLYNOMIALS; QUANTUM-MECHANICS; SCHRODINGER-EQUATION; RATIONAL EXTENSIONS; SUPERSYMMETRY; EXACTNESS; SPECTRA; RULES;

D O I：

10.1140/epjp/i2016-16259-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a recently proposed classification for the primary translationally shape-invariant potentials, we show that the exact quantization rule formulated by Ma and Xu is equivalent to the supersymmetric JWKB quantization condition. The energy levels for the two considered categories of shape-invariant potentials are also derived.

引用

页数：12

共 41 条

[21] Symmetries and the compatibility condition for the new translational shape invariant potentials
Ramos, Arturo
PHYSICS LETTERS A, 2012, 376 (46) : 3499 - 3503
[22] Application of supersymmetric WKB method to cyclic shape invariant potentials
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Leung, P. T.
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[23] A bosonized formulation of the supersymmetric quantum mechanics for shape-invariant potential systems
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Balantekin, A. B.
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[24] GENERATING SHAPE INVARIANT POTENTIALS
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INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (31): : 4959 - 4978
[25] The supersymmetric WKB formalism is not exact for all additive shape invariant potentials
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[26] Algebraic Approach for Shape Invariant Potentials in Klein-Gordon Equation
Setare, M. R.
Hatami, O.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (10) : 2977 - 2986
[27] On the general family of third-order shape-invariant Hamiltonians related to generalized Hermite polynomials
Marquette, I.
Zelaya, K.
PHYSICA D-NONLINEAR PHENOMENA, 2022, 442
[28] Algebraic shape invariant potentials as the generalized deformed oscillator
Su, Wang-Chang
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (38)
[29] Algebraic solutions of shape-invariant position-dependent effective mass systems
Amir, Naila
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JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (06)
[30] Infinitely many shape invariant potentials and new orthogonal polynomials
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PHYSICS LETTERS B, 2009, 679 (04) : 414 - 417

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