Algebraic Properties of the Shape Invariance Condition

被引:3
|
作者
Su, W. -C. [1 ]
机构
[1] Natl Chung Cheng Univ, Dept Phys, Chiayi 621, Taiwan
关键词
SUPERSYMMETRIC QUANTUM-MECHANICS; GENERALIZED DEFORMED OSCILLATOR; EXACTLY SOLVABLE POTENTIALS; NONCOMMUTATIVE PLANE; HEISENBERG ALGEBRA; ENERGY-SPECTRUM; POSCHL-TELLER; SCATTERING; EQUATIONS; SYSTEMS;
D O I
10.6122/CJP.51.918
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the formalism of the Z(k)-graded deformed oscillator algebra, we systematically construct, within the framework of supersymmetric quantum mechanics, general algebraic properties of four known classes of shape invariant potentials that are extended from the ordinary one step in the literature to arbitrary k steps.
引用
收藏
页码:918 / 935
页数:18
相关论文
共 50 条
  • [21] Invariance properties of exact solutions of the radiative transfer equation
    Martelli, Fabrizio
    Tommasi, Federico
    Fini, Lorenzo
    Cortese, Lorenzo
    Sassaroli, Angelo
    Cavalieri, Stefano
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2021, 276
  • [22] Data-based guarantees of set invariance properties
    Bisoffi, Andrea
    De Persis, Claudio
    Tesi, Pietro
    IFAC PAPERSONLINE, 2020, 53 (02): : 3953 - 3958
  • [23] On Algebraic Properties of Extreme Pathways in Metabolic Networks
    Jevremovic, Dimitrije
    Trinh, Cong T.
    Srienc, Friedrich
    Boley, Daniel
    JOURNAL OF COMPUTATIONAL BIOLOGY, 2010, 17 (02) : 107 - 119
  • [24] Finiteness Properties of Affine Difference Algebraic Groups
    Wibmer, Michael
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (01) : 506 - 555
  • [25] Shape optimization for the Stokes hemivariational inequality with slip boundary condition
    Fang, Changjie
    Yang, Meifang
    Migorski, Stanislaw
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 146 : 213 - 224
  • [26] Invariance-Like Theorems and "lim inf" Convergence Properties
    Scarciotti, Giordano
    Praly, Laurent
    Astolfi, Alessandro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (03) : 648 - 661
  • [27] Quasi-Invariance of Scattering Properties of Multicellular Cyanobacterial Aggregates
    Ma, Chunyang
    Lu, Qian
    Tong, Yen Wah
    PHOTONICS, 2025, 12 (02)
  • [28] Shape-invariance approach and Hamiltonian hierarchy method on the Woods–Saxon potential for ℓ ≠ 0 states
    Cüneyt Berkdemir
    Ayşe Berkdemir
    Ramazan Sever
    Journal of Mathematical Chemistry, 2008, 43 : 944 - 954
  • [29] ARITHMETIC PROPERTIES OF THE INTEGER PART OF THE POWERS OF AN ALGEBRAIC NUMBER
    Luca, Florian
    Mignotte, Maurice
    GLASNIK MATEMATICKI, 2009, 44 (02) : 285 - 307
  • [30] α-modulation spaces (I) scaling, embedding and algebraic properties
    Han, Jinsheng
    Wang, Baoxiang
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2014, 66 (04) : 1315 - 1373