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

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Gangopadhyaya, Asim
Mallow, Jeffry, V
Rasinariu, Constantin
Bougie, Jonathan
PHYSICS LETTERS A, 2020, 384 (28)
[2] Ma-Xu quantization rule and exact JWKB condition for translationally shape invariant potentials
Grandati, Y.
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Gomez-Ullate, David
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[5] On the new translational shape-invariant potentials
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ANNALS OF PHYSICS, 2010, 325 (06) : 1235 - 1259
[8] Unified Supersymmetric Description of Shape-Invariant Potentials within and beyond the Natanzon Class
Soltesz, Tibor
Petho, Levente Ferenc
Levai, Geza
SYMMETRY-BASEL, 2024, 16 (02):
[9] Method for generating additive shape-invariant potentials from an Euler equation
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Mallow, Jeffry V.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (27)
[10] Exactly Solvable Potentials Derived from SWKB Quantization
Sun, Hosung
BULLETIN OF THE KOREAN CHEMICAL SOCIETY, 2014, 35 (03): : 805 - 810

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