Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries

被引：0
作者：
Salazar-Ramirez, M. [1 ]
Ojeda-Guillen, D. [1 ]
Martinez-Nuno, J. A. [1 ]
Ramirez-Espinoza, R. I. [1 ]
机构：
[1] Inst Politecn Nacl, Escuela Super Computo, Ave Juan Dios Batiz esq Ave Miguel Othon Mendizaba, Mexico City 07738, Mexico
来源：
FEW-BODY SYSTEMS | 2024年 / 65卷 / 04期
关键词：
HARMONIC-OSCILLATOR;
D O I：
10.1007/s00601-024-01962-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study and exactly solve the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries using an algebraic approach. Moreover, we focus on the radial part of this problem and apply the Schr & ouml;dinger factorization method to demonstrate that the system possesses an SU(1, 1) symmetry. From this, we derive the wave functions and their respective energy spectrum. Additionally, we compute the radial coherent states of the modified Dirac oscillator and examine their temporal evolution in the spin and pseudospin limits, respectively.
引用
收藏
页数：12
相关论文
共 35 条
  • [1] Spin and pseudospin symmetries of the Dirac equation for the generalised Morse potential and a class of Yukawa potential
    Abebe, Obu J.
    Obeten, Okoi P.
    Okorie, Uduakobong S.
    Ikot, Akpan N.
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2021, 95 (03):
  • [2] Pseudospin and spin symmetry in the relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential
    Akbar, J.
    Suparmi, A.
    Cari, C.
    [J]. NUCLEAR PHYSICS A, 2021, 1007
  • [3] Solution of the relativistic Dirac-Morse problem
    Alhaidari, AD
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (21) : 210405 - 1
  • [4] PSEUDO LS COUPLING AND PSEUDO SU3 COUPLING SCHEMES
    ARIMA, A
    HARVEY, M
    SHIMIZU, K
    [J]. PHYSICS LETTERS B, 1969, B 30 (08) : 517 - &
  • [5] Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time
    Chen, Hao
    Long, Zheng-Wen
    Yang, Yi
    Long, Chao-Yun
    [J]. MODERN PHYSICS LETTERS A, 2020, 35 (21)
  • [6] Pseudospin symmetry in relativistic framework with harmonic oscillator potential and Woods-Saxon potential
    Chen, TS
    Lü, HF
    Meng, J
    Zhang, SQ
    Zhou, SG
    [J]. CHINESE PHYSICS LETTERS, 2003, 20 (03) : 358 - 361
  • [7] Cohen-Tannoudjn C., 1977, QUANTUM MECH
  • [8] RELATIVISTIC HARMONIC OSCILLATORS WITH INTRINSIC SPIN STRUCTURE
    COOK, PA
    [J]. LETTERE AL NUOVO CIMENTO, 1971, 1 (10): : 419 - +
  • [9] Costabile FA., 2023, Polynomial Sequences: Basic Methods, Special Classes, and Computational Applications, DOI [10.1515/9783110757248, DOI 10.1515/9783110757248]
  • [10] Generalized polynomials, operational identities and their applications
    Dattoli, G
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 118 (1-2) : 111 - 123
1234